Topic 1. Number theory

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1 Factors

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2 Divisibility rules

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3 Prime or composite

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4 Prime factorization

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5 Greatest common factor

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6 Least common multiple

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7 GCF and LCM: word problems

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8 Classify numbers

Topic 2. Integers

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1 Integers on number lines

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2 Absolute value and opposite integers

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3 Compare and order integers

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4 Integer inequalities with absolute values

Topic 3. Operations with integers

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1 Integer addition and subtraction rules

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2 Add and subtract integers using counters

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3 Add and subtract integers

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4 Add and subtract three or more integers

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5 Add and subtract integers: word problems

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6 Integer multiplication and division rules

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7 Multiply and divide integers

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8 Simplify expressions involving integers and absolute values

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9 Evaluate variable expressions with integers and absolute values

Topic 4. Rational numbers

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1 Identify rational and irrational numbers

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2 Simplify fractions

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3 Least common denominator

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4 Round decimals and mixed numbers

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5 Absolute value of rational numbers

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6 Convert between decimals and fractions or mixed numbers

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7 Compare rational numbers

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8 Put rational numbers in order

Topic 5. Operations with rational numbers

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1 Reciprocals and multiplicative inverses

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2 Add and subtract rational numbers

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3 Add and subtract rational numbers: word problems

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4 Multiply and divide rational numbers

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5 Multiply and divide rational numbers: word problems

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6 Simplify expressions involving rational numbers

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7 Evaluate variable expressions involving rational numbers

Topic 6. Exponents and roots

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1 Understanding exponents

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2 Evaluate exponents

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3 Exponents: solve for the variable

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4 Exponents with negative bases

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5 Exponents with decimal and fractional bases

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6 Understanding negative exponents

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7 Evaluate negative exponents

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8 Multiplication with exponents

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9 Division with exponents

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10 Multiplication and division with exponents

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11 Power rule

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12 Simplify expressions involving exponents

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13 Square roots of perfect squares

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14 Positive and negative square roots

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15 Estimate positive and negative square roots

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16 Relationship between squares and square roots

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17 Evaluate variable expressions involving squares and square roots

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18 Cube roots of perfect cubes

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19 Estimate cube roots

Topic 7. Scientific notation

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1 Convert between standard and scientific notation

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2 Compare numbers written in scientific notation

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3 Multiply numbers written in scientific notation

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4 Divide numbers written in scientific notation

Topic 8. Ratios and proportions

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1 Understanding ratios

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2 Equivalent ratios

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3 Equivalent ratios: word problems

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4 Compare ratios: word problems

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5 Unit rates

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6 Do the ratios form a proportion?

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7 Do the ratios form a proportion: word problems

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8 Solve proportions

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9 Solve proportions: word problems

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10 Estimate population size using proportions

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11 Rate of change

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12 Constant rate of change

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13 Scale drawings and scale factors

Topic 9. Proportional relationships

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1 Identify proportional relationships

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2 Find the constant of variation: graphs

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3 Find the constant of variation: word problems

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4 Graph a proportional relationship

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5 Write an equation for a proportional relationship

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6 Proportional relationships: word problems

Topic 10. Percents

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1 Convert between percents, fractions, and decimals

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2 Compare percents to fractions and decimals

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3 Find what percent one number is of another

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4 Find what percent one number is of another: word problems

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5 Estimate percents of numbers

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6 Percents of numbers and money amounts

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7 Percents of numbers: word problems

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8 Compare percents of numbers

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9 Solve percent equations

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10 Percent of change

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11 Percent of change: word problems

Topic 11. Consumer math

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1 Price lists

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2 Unit prices

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3 Unit prices with unit conversions

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4 Unit prices: find the total price

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5 Percent of a number: tax, discount, and more

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6 Find the percent: tax, discount, and more

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7 Sale prices: find the original price

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8 Multi-step problems with percents

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9 Estimate tips

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10 Simple interest

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11 Compound interest

Topic 12. Measurement

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1 Convert rates and measurements: customary units

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2 Convert rates and measurements: metric units

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3 Mixed customary units

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4 Convert between customary and metric systems

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5 Precision

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6 Convert between Celsius and Fahrenheit

Topic 13. Problem solving

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1 Multi-step word problems

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2 Guess-and-check word problems

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3 Use Venn diagrams to solve problems

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4 Elapsed time word problems

Topic 14. Charts and graphs

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1 Interpret tables

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2 Interpret bar graphs

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3 Create bar graphs

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4 Interpret line graphs

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5 Create line graphs

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6 Interpret line plots

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7 Create line plots

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8 Interpret stem-and-leaf plots

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9 Interpret histograms

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10 Create histograms

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11 Create frequency charts

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12 Interpret box-and-whisker plots

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13 Scatter plots

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14 Interpret circle graphs

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15 Circle graphs and central angles

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16 Choose the best type of graph

Topic 15. Pythagorean theorem

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1 Pythagorean theorem: find the length of the hypotenuse

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2 Pythagorean theorem: find the missing leg length

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3 Pythagorean theorem: find the perimeter

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4 Pythagorean theorem: word problems

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5 Converse of the Pythagorean theorem: is it a right triangle?

Topic 16. Coordinate graphs

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1 Points on coordinate graphs

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2 Quadrants and axes

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3 Coordinate graphs as maps

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4 Distance between two points

Topic 17. Geometry

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1 Identify complementary, supplementary, vertical, adjacent, and congruent angles

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2 Find measures of complementary, supplementary, vertical, and adjacent angles

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3 Transversal of parallel lines

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4 Classify triangles

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5 Classify quadrilaterals

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6 Find missing angles in triangles and quadrilaterals

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7 Identify and classify polygons

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8 Interior angles of polygons

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9 Similar and congruent figures

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10 Similar figures: side lengths and angle measures

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11 Congruent figures: side lengths and angle measures

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12 Congruence statements and corresponding parts

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13 Congruent triangles: SSS, SAS, and ASA

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14 Perimeter

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15 Area

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16 Area and perimeter: word problems

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17 Parts of a circle

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18 Circles: calculate area, circumference, radius, and diameter

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19 Circles: word problems

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20 Find lengths and measures of bisected lines and angles

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21 Front, side, and top view

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22 Base plans

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23 Names and parts of 3-dimensional figures

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24 Nets of 3-dimensional figures

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25 Surface area of prisms and cylinders

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26 Surface area of pyramids and cones

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27 Volume of prisms and cylinders

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28 Volume of pyramids and cones

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29 Volume and surface area of spheres

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30 Similar solids

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31 Volume and surface area of similar solids

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32 Perimeter, area, and volume: changes in scale

Topic 18. Transformations

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1 Identify reflections, rotations, and translations

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2 Translations: graph the image

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3 Translations: find the coordinates

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4 Reflections: graph the image

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5 Reflections: find the coordinates

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6 Rotations: graph the image

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7 Rotations: find the coordinates

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8 Dilations: graph the image

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9 Dilations: find the coordinates

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10 Dilations: scale factor and classification

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11 Symmetry

Topic 19. Number sequences

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1 Identify arithmetic and geometric sequences

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2 Arithmetic sequences

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3 Geometric sequences

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4 Number sequences: mixed review

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5 Number sequences: word problems

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6 Evaluate variable expressions for number sequences

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7 Write variable expressions for arithmetic sequences

Topic 20. Variable expressions

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1 Write variable expressions

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2 Write variable expressions to represent diagrams

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3 Identify terms and coefficients

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4 Evaluate single-variable expressions

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5 Evaluate multi-variable expressions

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6 Add and subtract like terms

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7 Simplify variable expressions

Topic 21. Single-variable equations

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1 Does x satisfy the equation?

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2 Model and solve equations using algebra tiles

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3 Write and solve equations that represent diagrams

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4 Solve one-step linear equations

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5 Solve two-step linear equations

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6 Solve equations involving squares and square roots

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7 Solve multi-step equations

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8 Solve equations involving like terms

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9 Identities and equations with no solutions

Topic 22. Linear functions

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1 Does (x, y) satisfy the linear equation?

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2 Evaluate a linear function

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3 Complete a function table

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4 Write a rule for a function table

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5 Find points on a function graph

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6 Graph a line from a function table

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7 Graph a line from an equation

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8 Linear function word problems

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9 Find the slope of a graph

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10 Find slope from two points

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11 Find slope from an equation

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12 Graph a line using slope

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13 Slopes of parallel and perpendicular lines

Topic 23. Nonlinear functions

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1 Identify linear and nonlinear functions

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2 Does (x, y) satisfy a nonlinear equation?

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3 Evaluate a nonlinear function

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Inequalities

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1 Inequalities on number lines

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2 Solutions to variable inequalities

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3 Graph inequalities on number lines

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4 Solve one-step linear inequalities

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5 Graph solutions to one-step linear inequalities

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6 Solve two-step linear inequalities

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7 Graph solutions to two-step linear inequalities

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8 Solve advanced linear inequalities

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9 Graph solutions to advanced linear inequalities

Topic 24. Systems of linear equations

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1 Is (x, y) a solution to the system of equations?

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2 Solve a system of equations by graphing

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3 Solve a system of equations by graphing: word problems

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4 Find the number of solutions to a system of equations by graphing

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5 Find the number of solutions to a system of equations

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6 Classify a system of equations by graphing

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7 Classify a system of equations

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8 Solve a system of equations using substitution

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9 Solve a system of equations using substitution: word problems

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10 Solve a system of equations using elimination

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11 Solve a system of equations using elimination: word problems

Topic 25. Monomials and polynomials

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1 Identify monomials

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2 Model polynomials with algebra tiles

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3 Add and subtract polynomials using algebra tiles

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4 Add and subtract polynomials

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5 Add polynomials to find perimeter

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6 Multiply monomials

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7 Divide monomials

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8 Multiply and divide monomials

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9 Powers of monomials

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10 Square and cube roots of monomials

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11 Multiply polynomials using algebra tiles

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12 Multiply polynomials

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13 Multiply polynomials to find area

Topic 26. Properties

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1 Properties of addition and multiplication

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2 Distributive property

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3 Simplify variable expressions using properties

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4 Properties of equality

Topic 27. Probability

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1 Probability of simple events

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2 Probability of opposite, mutually exclusive, and overlapping events

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3 Experimental probability

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4 Make predictions

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5 Compound events: find the number of outcomes

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6 Identify independent and dependent events

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7 Probability of independent and dependent events

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8 Factorials

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9 Permutations

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10 Counting principle

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11 Combination and permutation notation

Topic 28. Statistics

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1 Calculate mean, median, mode, and range

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2 Interpret charts to find mean, median, mode, and range

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3 Mean, median, mode, and range: find the missing number

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4 Changes in mean, median, mode, and range

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5 Quartiles

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6 Identify representative, random, and biased samples