# Math Content by Unit

The following table list the names and brief descriptions of each unit in CMP3. Each grade and course meet the CCSSM for grades 6, 7, 8 and Algebra 1.

## Unit Descriptions

### Grade 6

*Prime Time*: Factors and Multiples

Number theory, including factors, multiples, primes, composites, prime factorization; order of operations, distributive property.

*Comparing Bits and Pieces*: Ratios, Rational Numbers and Equivalence

Ratio, unit rate, rate tables, rational numbers, decimals, percents, equivalence, absolute value, number line.

*Let’s Be Rational*: Understanding Fraction Operations

Addition, subtraction, multiplication, division of fractions, fact families.

*Covering and Surrounding*: Two Dimensional Measurement

Area and perimeter relationships, area and perimeter of polygons, surface area and volume of rectangular prisms.

*Decimal Ops*: Computing with Decimals and Percents

Addition, subtraction, multiplication and division of decimals, estimation; solutions for *a % of b = c*

*Variables and Patterns*: Focus on Algebra

Variables, variable expressions, equations, inequalities; representations of relationships in tables, graphs, equations.

*Data About Us*: Statistics and Data Analysis

Analysis of data distributions, including shape, measures of center (mean, median, mode) and variability (range, inter quartile range, mean absolute deviation).

### Grade 7

*Shapes and Designs*: Two Dimensional Geometry

Polygons, measurement of angles, angle sum of polygons, conditions for unique triangle, parallel lines and transversals.

*Accentuate the Negative*: Integers and Rational Numbers

Addition, subtraction, multiplication and division of rational numbers, absolute value, opposites, order of operations, distributive property.

*Stretching and Shrinking*: Understanding Similarity

Enlarging a figure, effect of scale factors on perimeter and area, coordinate rules, ratios between and within similar figures; using similarity to find measures.

*Comparing and Scaling*: Ratios, Rates, Percent, Proportions

Ratios, unit rate, rate tables, constant of proportionality, solving proportions, includes markups, discounts, commission, measurement, conversion.

*Moving Straight Ahead*: Linear Relationships

Representing linear relationships in graphs, tables, equations; solving linear equations; slope, intercept, writing equation for linear relationship given points.

*What Do You Expect*: Probability and Expected Value

Probability models, experimental and theoretical probability, analysis of compound events.

*Filling and Wrapping*: Three Dimensional Measurement

Area circumference of circle; volume and surface area of rectangular and polygonal prisms, cylinders; volume of pyramids, cones, spheres; plane sections of prisms, pyramids; effect of scaling on surface area and volume.

*Samples and Populations*: Making Comparisons and Predictions

Sampling plans, effect of sample size, predicting population statistics, simulations, comparing sample statistics to draw inferences about two populations.

### Grade 8

*Thinking With Mathematical Models*: Linear and Inverse Variations

Linear models and equations, inverse variation models and equations, variability of numerical and categorical data.

*Looking for Pythagoras*: The Pythagorean Theorem

Pythagorean Theorem and converse, square roots, cube roots, irrational and real numbers, equation of circle.

*Growing, Growing, Growing*: Exponential Functions

Representing exponential growth with tables, graphs, equations; rules for exponents, scientific notation; Exponential Decay; growth/decay factors and rates.

*Say it with Symbols*: Making Sense of Symbols

Equivalent expressions, solving linear and quadratic equations; identify and represent linear, exponential and quadratic functions.

*Butterflies, Pinwheels and Wallpaper*: Symmetry and Transformations

Symmetry, transformations, congruence, similarity, coordinate proofs.

*It's in the System*: Systems of Linear Equations and Inequalities

Solving linear systems graphically and algebraically, systems of functions and inequalities, solving systems of linear inequalities.

### Algebra I

*Thinking With Mathematical Models*: Linear and Inverse Variations

Linear models and equations, inverse variation models and equations, variability of numerical and categorical data.

*Looking for Pythagoras*: The Pythagorean Theorem

Pythagorean Theorem and converse, square roots, cube roots, irrational and real numbers, equation of circle.

*Growing, Growing, Growing*: Exponential Functions

Representing exponential growth with tables, graphs, equations; rules for exponents, scientific notation; Exponential Decay; growth/decay factors and rates.

*Frogs and Fleas and Painted Cubes*: Quadratic Functions

Representing quadratic functions, factoring quadratic expressions, patterns of change, effect of parameters.

*Say it with Symbols*: Making Sense of Symbols

Equivalent expressions, solving linear and quadratic equations; identify and represent linear, exponential and quadratic functions.

*Butterflies, Pinwheels and Wallpaper*: Symmetry and Transformations

Symmetry, transformations, congruence, similarity, coordinate proofs.

*It's in the System*: Systems of Linear Equations and Inequalities

Solving linear systems graphically and algebraically, systems of functions and inequalities, solving systems of linear inequalities.