Math Content by Unit

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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.

Grade 6

  • Prime Time: Factors and Multiples
  • Comparing Bits and Pieces: Ratios, Rational Numbers and Equivalence
  • Let’s Be Rational: Understanding Fraction Operations
  • Covering and Surrounding: Two Dimensional Measurement
  • Decimal Ops: Computing with Decimals and Percents
  • Variables and Patterns: Focus on Algebra
  • Data About Us: Statistics and Data Analysis

Grade 7

  • Shapes and Designs: Two Dimensional Geometry
  • Accentuate the Negative: Integers and Rational Numbers
  • Stretching and Shrinking: Understanding Similarity
  • Comparing and Scaling: Ratios, Rates, Percent, Proportions
  • Moving Straight Ahead: Linear Relationships
  • What Do You Expect: Probability and Expected Value
  • Filling and Wrapping: Three Dimensional Measurement
  • Samples and Populations: Making Comparisons and Predictions

Grade 8

  • Thinking With Mathematical Models: Linear and Inverse Variations
  • Looking for Pythagoras: The Pythagorean Theorem
  • Growing, Growing, Growing: Exponential Functions
  • Butterflies, Pinwheels and Wallpaper: Symmetry and Transformations
  • Say it with Symbols: Making Sense of Symbols
  • It's in the System: Systems of Linear Equations and Inequalities

Algebra

  • Thinking With Mathematical Models: Linear and Inverse Variations
  • Looking for Pythagoras: The Pythagorean Theorem
  • Growing, Growing, Growing: Exponential Functions
  • Frogs, Fleas and Painted Cubes: Quadratic Functions
  • Butterflies, Pinwheels and Wallpaper: Symmetry and Transformations
  • Say it with Symbols: Making Sense of Symbols
  • It's in the System: Systems of Linear Equations and Inequalities
  • Function Junction: Families of Functions

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, Inc. 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.

Function Junction: Families of Functions

Function notation, inverses, arithmetic/ geometric sequences, transformations on functions; completing the square, quadratic formula, polynomial expressions/ functions /equations.