Andrew’s  Math Webpage

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May 13, 2014

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Math advantage,   middle school

Chapter

Contents names

Subtitles 

Worksheets

1.

Real numbers

Sets of numbers,  exponents and scientific notation,  products and quotients powers,  square and square roots,  exploring cubs and cube roots,

Real Numbers

2.

Rations, proportions, and percent

Relating decimals fractions and percent, stacked bar graphs rations and percent, rations and proportions rates,  estimating with rations and percent    

Rations proportions and percent

3.

Operations with integers

Adding integers,  subtracting integers,  using patters to fined products,  multiplying and dividing integers,  patters with integer exponents  

Operation with integers

 

4.

Operations with rational numbers

Adding rational numbers,  subtracting rational nu and dividing rational numbers,  order of operations multiplying

Operations with rational numbers

5.

Algebra numbers, expressions, and equations

Expressions equations and inequalities,  evaluating expressions,  writing expressions,  modeling like terms,  combing like terms

 

6.

Algebra solving equations

Relating words to equations,  solving addition and subtractions equations,  solving multiplying and dividing equations,  two steps equations, solving two steps equations,  work backward to solve a two steps equations

Algebra solving equations

7.

Algebra solving equations and inequalities  

Write an equation with like terms, solving equations with variable on both sides, inequalities, solving inequalities

Algebra solving equations and inequalities

8.

Algebra graphing equations and equalities

Use guess and check to solve an equation with two variables, graphing in the coordinates plane,  graphing linear equations, graphing inequalities with two variables, exploring graphs of nonlinear equations

Algebra graphing equations and equalities

9.

Geometric patterns

Patterns with solid figures, square patterns, fraction patterns

Geometric patterns

10.

Number patterns

Patterns in measurement system, rational number patterns, extending divisibility patterns, patterns with calculators

Number patterns

11.

Patterns in sequences

Sequences, patterns in arithmetic sequences, patterns in geometric sequences, patterns in Fibonacci sequences   

Patterns in sequences

12.

Similar figures

similar figures, scale drawing, self-similarity,

Similar figures

13.

Scale models

Scale models and proportions, using cubes to model, scale models of others solid figures

Scale models

14.

Proportions, equations, and percent

Finding a percent of a number is of another, modeling to find a number when a percent of it is known, estimating with a percent

Proportions, equations, and percenthttp://www3.delta.edu/pglutz/SayKnowMath/MTH096/percentprop.pdf

15.

Applications of percent

Percent of increase and decrease, commission, taxes, simple interest, compound interest

 

Applications of percent

16.

Collecting data and predicting

Predicting with simple, solving a simpler problem displaying data, predicting with graphs,

Collecting data and predicting

17.

Statistics analyzing data

Central tendency, variability the speed of the data, scatterplots, misleading graphs and statistics

Statistics analyzing data

18.

Probability

Accounting for all possibilities, the fundamental counting principle, permutation and combining, finding probabilities,  

Probability

19.

Experiments with probability

Acting it out using random numbers, using proportions in a simulation, geometric probabilities

Experiments with probability

20.

Constructions and drawing  

Parallel and perpendicular lines, bisecting line segments and angles, constructing congruent triangles, making similar triangles, constructing similar triangles, constructing other triangles

Constructions and drawing 

21.

Transformation

Transformation of a plane figures, transformation of solid figures, dilations, transformations, shrinking and expending

Transformation

22.

Comparing and drawing figures

Drawing diagram to show different views, drawing three-dimensional figures, perspective drawing

Comparing and drawing figures

23.

Algebra seeing relationships  

Making a graph, using scatterplots

Algebra seeing relationships  

24.

Algebra linear functions

Slopes and intercepts, systems of equations relations and function, linear functions, nonlinear functions

Algebra linear functions

25.

Algebra polynomials

Polynomials, simplifying polynomials , adding polynomials, subtracting polynomials

Algebra polynomials

26.

Measuring one, two, three, dimensions

Network, measuring length, use a formula to find the area, volumes of solids, surface area

Measuring one, two, three, dimensions

27.

Changes in two and three dimensions  

Maximum and minimum perimeter and area, double and halving in two dimensions, doubling and halving in three dimensions

Changes in two and three dimensions

28.

Indirect measurement

Measuring with shadows, the Pythagorean property, trigonometric ratios

Indirect measurement