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2.3 Constructing Rotations 2.4 Constructing Translations 2.5 Identifying Series and Determining Congruence or Similarity 2.6:The Sum of Angles in a Triangle 2.7 Similar Triangles 2.8 Parallel Lines Cut by a Transversal Unit 3: Functions CC STANDARDS COVERED: 8.F.1, 8.F.3, 8.F.4, 8.F.5, 8.EE.6 3.1 Intro to Functions 3.2 Graphing Functions. This fun activity is designed to provide students with practice on how to discover points on a line using the slope definition of rise over run. Students work in pairs to race across a coordinate plane only using moves that support the directions for slope.Through this activity, students learn how.

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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.

A line through the point (-2,-3) with undefined slope is the vertical line through that point. Technically everything west of the Continental Divide, the Western Slope encompasses roughly one-third of the state and about The Beginner’s Guide to International Cider: Germany The cider market in the United States has grown over 500 percent since 2011. 48) Write the equation in slope-intercept form with a slope of 2 going through (-2, -2) 52) Find the equation of the line passing through (2, 5) that is parallel to x – 5y = 10 54) Find the equation of the line passing through (-3, -5) that is perpendicular to y – 3x = 4.

Grade 7

Algebra

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.

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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

2.3 Discover The Slope Of A Linemr. Mac's Page Key

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.

2.3 discover the slope of a linemr. mac

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

Discover

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

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Frogs and Fleas and Painted Cubes: Quadratic Functions

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

Slope

Say it with Symbols: Making Sense of Symbols

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

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Butterflies, Pinwheels and Wallpaper: Symmetry and Transformations

Symmetry, transformations, congruence, similarity, coordinate proofs.

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

2.3 discover the slope of a linemr. mac

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.

2.3 Discover The Slope Of A Linemr. Mac's Page Sheet

Infinite Pre-Algebra covers all typical Pre-Algebra material, over 90 topics in all, from arithmetic to equations to polynomials. Suitable for any class which is a first step from arithmetic to algebra. Designed for all levels of learners from remedial to advanced.

View as text in: Index OrderSuggested Order
Comparison of topics in each program
Common Core alignment

Integers, Decimals, and Fractions

  • Naming decimal places and rounding
  • Writing numbers with words
  • Adding and subtracting
  • Multiplying
  • Dividing
  • Factoring
  • Greatest common factor
  • Least common multiple
  • Simplifying fractions
  • Converting fractions and decimals

Beginning Algebra

  • Verbal expressions
  • Order of operations
  • The Distributive Property

Equations

  • One-step equations
  • One-step equations, word problems
  • Two-step equations
  • Two-step equations word problems
  • Multi-step equations

Inequalities

  • Graphing single-variable inequalities
  • One-step inequalities
  • Two-step inequalities
  • Multi-step inequalities

Factors and Exponents

  • Divisibility
  • Properties of exponents
  • Writing scientific notation
  • Operations and scientific notation

Proportions and Similarity

  • Checking for a proportion
  • Solving proportions
  • Proportions word problems
  • Similar figures
  • Similar figures word problems

Percents

  • Fractions, decimals, and percents
  • Percents
  • Percent of change
  • Markup, discount, and tax
  • Simple and compound interest

Linear Equations and Inequalities

  • Plotting points
  • The Midpoint Formula
  • Slope
  • Graphing linear equations
  • Writing linear equations
  • Graphing linear inequalities
  • Graphing systems of equations
  • Solving systems of equations by substitution
  • Systems of equations word problems

Plane Figures

  • Drawing and measuring angles
  • Angle relationships
  • Triangles
  • Quadrilaterals
  • Area of triangles and quadrilaterals
  • Circles
  • Transformations

Solid Figures

Right Triangles

  • Squares and square roots
  • The Pythagorean Theorem
  • The Distance Formula

Beginning Polynomials

Statistics

  • Visualizing data
  • Center and spread
  • Scatter plots
  • Using statistical models