 # middle school math

Mrs. Scott's
Student connections

The results from 10 years of testing consistently show that:

• CMP is an effective middle school curriculum for all students.

• CMP students do as well as, or better than, non-CMP students on tests of basic skills

• outperform non-CMP students on tests of problem- solving ability, conceptual understanding, and proportional reasoning.

• CMP students can use basic skills to solve important mathematical problems and are able to communicate their reasoning and understanding.

• By the end of grade 8, CMP students show considerable ability to solve non-routine algebra problems

• Students demonstrate a strong understanding of linear functions and a beginning understanding of exponential and quadratic functions

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## Variables and Patterns -- Introducing Algebra

connected monkeys - interactive animation and graphing...in monkey language!

variables; representations of relationships, including tables, graphs, words, and symbols

## Stretching and Shrinking -- Similarity

similar figures; scale factors; side length ratios; basic similarity transformations and their algebraic rules

## Comparing and Scaling -- Ratio, Proportion, and Percent

rates and ratios; making comparisons; proportional reasoning; solving proportions

## Accentuate the Negative -- Positive and Negative Numbers

check your chips with positive black and negative red chips

integer product game multiply positive and negative numbers with a partner

understanding positive and negative integers and rational numbers; operations; order of operations; distributive property; four-quadrant graphing

## Moving Straight Ahead -- Linear Relationships

climbing monkeys again, but this time what represents slope and y-intercept?

recognize and represent linear relationships in tables, graphs, words, and symbols; solve linear equations; slope

## Filling and Wrapping -- Three-Dimensional Measurement

fill the virtual cylinder - a tougher challenge!

virtual pouring - find out how many times you have to fill one shape and pour it into the others!

spatial visualization, volume and surface area of various solids, volume and surface area relationship

## What Do You Expect? -- Probability and Expected Value

playing darts...with different shaped dartboards!

expected value, probabilities of two-stage outcomes

## Data Distributions -- Describing Variability and Comparing Groups

measures of center, variability in data, comparing distributions of equal and unequal sizes

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## Thinking With Mathematical Models -- Linear and Inverse Variation

introduction to functions and modeling; finding the equation of a line; inverse functions; inequalities

## Looking for Pythagoras -- The Pythagorean Theorem

square roots; the Pythagorean Theorem; connections amongcoordinates, slope, distance, and area; distances in the plane

## Growing, Growing, Growing -- Exponential Relationships

recognize and represent exponential growth and decay in tables, graphs, words, and symbols; rules of exponents; scientific notation

## Frogs, Fleas and Painted Cubes -- Quadratic Relationships

recognize and represent quadratic functions in tables, graphs, words and symbols; factor simple quadratic expressions

## Kaleidoscopes, Hubcaps and Mirrors -- Symmetry and Transformations

symmetries of designs, symmetry transformations, congruence, congruence rules for triangles

## Say It With Symbols -- Making Sense of Symbols

equivalent expressions, substitute and combine expressions, solve quadratic equations, the quadratic formula

## Shapes of Algebra -- Linear Systems and Inequalities

coordinate geometry, solve inequalities, standard form of linear equations, solve systems of linear equations and linear equalities.