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1st |
- Variables and Expressions
- The order of operation
- Evaluating Expressions
- Integers and absolute value
- Adding integers
- Subtracting integers
- Inductive reasoning
- Problem solving
- Data analysis
- Coordinating plane
- Properties of numbers
- Simplifying variables and equations
- Solving equations
- Inequalities
- Rounding and Estimating
- Estimating Decimal Products and Quotients
- Mean, Mode, and Median
- Using Formulas
- Solving Equations
- Using the Metric System
- Divisibility and factors
- Exponents
- Prime Factorization and Greatest common factor
- Simplifying fractions
- Problems Solving Strategy
- Rational Numbers
- Exponents and Multiplication and Division
- Scientific Notation
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· Identifying Numerical and Variable expressions
· Writing variable expressions
· Using the order of operations
· Using grouping symbols
· Evaluating variable expressions
· Solving problems by evaluating expressions
· Comparing integers
· Finding absolute value
· Using models and rules to add and subtract integers
· Writing rules for patterns
· Multiplying and dividing integers
· Naming coordinates and quadrants
· Graphing points
· Identifying properties
· Numerical expressions
· Identifying parts of variable expressions
· Classifying types of equations
· Using addition, subtraction, division and multiplication to solve equations
· Graphing inequalities
· Rounding decimals
· Estimating products and quotients
· Finding mean, mode, median
· Formulas
· Solving equations
· Identifying appropriate metric measures
· Converting units
· Simplify a problem
· Using divisibility tests
· Finding factors
· Using exponents
· Prime factors
· GCF
· Finding Equivalent Fractions
· Simplest Form
· Graphing rational number
· Fractions containing variables
· Multiplying powers with the same base
· Finding the power of a power
· Dividing expressions
· Calculating scientific notation
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· Discussions
· Projects
· Worksheets and assignments covering the selected skills
· Test covering the selected skills
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· What is the importance of order of operations?
· What does it mean to simplify an expression?
· Why would being able to simplify an expression be important?
· How could negative numbers be used in real life?
· What is a function?
· table be used in real life?
· How do the properties of algebra affect solving equations?
· What are ways to use multiple unknown problem solving in real life? |
6.A.4
6.B.5
8.B.4a
8.A.4b
8.B.4b
8.C.4b
8.D.4 |
Prentice Hall Pre-Algebra: Tools for a Changing World 2001
Chapters: 1-4 |
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2nd |
- Comparing and ordering fractions
- Fractions and decimals
- Adding and subtracting fractions
- Multiplying and dividing fractions
- Customary units of measurement
- Problem solving
- Solving equations by adding and subtracting
- Multiplying fractions
- Powers of products and quotients
- Measurements
- Proportions
- Geometry
- Probability
- Fractions, decimals and percents
- Percent of change
- Markup and discounts
- Solving 2- step equations
- Multi-step equations
- Solving equations with variables on both sides
- Transforming formulas
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· Finding the LCF
· Comparing fractions
· Writing fractions as decimals
· Adding and subtracting fractions
· Multiplying rational numbers
· Identifying appropriate measures
· Converting units
· Work backward
· Using subtraction to solve equations
· Using multiplication to solve equations
· Finding powers of products
· Writing ratios
· Finding rates and unit rates
· Solving proportions
· Similar figures
· Using scale drawings
· Finding probability
· Finding odds
· Writing percents as fractions and decimals
· Finding part of a whole
· Finding the whole amount
· Writing and solving percent equations
· Using equations to solve percent problems
· Finding percent of increase and decrease
· Find markups and discounts
· Make a table
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· Discussions
· Projects
· Worksheets and assignments covering the selected skills
· Test covering the selected skills
|
· What is the importance of being able to write and understand numbers in scientific notation?
· When is it appropriate to find the LCF?
· How do proportions compare to fractions?
· How do decimals compare to percents and fractions? |
6.A.4
6.B.5
8.B.4a
8.A.4b
8.B.4b
8.C.4b
8.D.4 |
Prentice Hall Pre-Algebra: Tools for a Changing World 2001
Chapters: 5-7 |
|
3rd |
- Relations and functions
- Equations with two variables
- Slope and y-intercept
- Writing rules for linear functions
- Scatter plots
- Solving systems of linear equations
- Graphing linear inequalities
- Points, lines and planes
- Angle relationships and parallel lines
- Classifying polygons
- Congruence
- Circles
- Constructions
- Translations
- Symmetry and reflections
- Rotations
- Area
- Space Figures
- Surface Area
- Volume
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· Identifying relations and functions
· Graphing relations and functions
· Finding solutions
· Graphing equations with two variables
· Finding the slope of a line
· Using slope to graph linear equations
· Writing rules from words and tables or graphs
· Interpreting and drawing scatter plots and finding trends
· Solving by graphing
· Graphing systems of linear equations
· Writing systems of linear equations
· Graphing linear inequalities
· Graphing systems of linear inequalities
· Points, lines, and planes
· Adjacent and vertical angles
· Classifying triangles and quadrilaterals
· Draw a diagram
· Identifying corresponding parts
· Congruent triangles
· Finding circumference
· Making circle graphs
· Congruent segments and angles
· Constructing bisectors
· Graphing translations
· Describing translations
· Identifying lines of symmetry
· Graphing reflections
· Graphing rotations
· Identifying rotational symmetry
· Finding areas of rectangles
· Finding areas of parallelograms
· Finding areas of triangles and trapezoids, circles, irregular figures
· naming space figures
· identifying space figures from Nets
· finding surface areas of prisms ,cylinders, pyramids, cones and spheres
· finding volume of prisms, cylinders, cones, pyramids and spheres |
· Discussions
· Projects
· Worksheets and assignments covering the selected skills
· Test covering the selected skills
· |
· How could graphing be used outside of school?
· What are real life applications of solving problems involving percents?
· What happens to a line graph as slope changes?
· What is the difference between a direct variation model and typical linear equation?
· What is the importance of being able to solve systems of linear equations?
· Why is solving systems of linear equations?
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6.A.4
8.D.4
6.B.5
6.B .4
6.A.4
7.C.4a
|
Prentice Hall Pre-Algebra: Tools for a Changing World 2001
Chapters: 8-10 |
|
4th |
· Square roots and irrational numbers
· Pythagorean Theorem
· Distance and midpoint formulas
· Special right triangles
· Measurement
· Frequency tables and line plots
· Box and whisker plots
· Using graphs to persuade
· Counting outcomes and theoretical probability
· Independent and dependent events
· Permutations and combinations
· Experimental probability
· Random samples and surveys
· Patterns and sequences
· Graphing nonlinear functions
· Exponential growth and decay
· Polynomials
· Adding and subtracting polynomials
· Multiplying a polynomial by a monomial
· Multiplying binomials
·
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· Finding square roots
· Classifying real numbers
· Using Pythagorean theorem
· Identifying right triangles
· Finding distance and midpoint
· Write a proportion
· Right triangles
· Finding rations
· Angles in elevation
· Angles of depression
· Using frequency tables to display data
· Using line plots to display data
· Making box and whisker plots
· Analyzing box and whisker plots
· Using breaks in scaled
· Using different scales
· Counting possible choices
· Counting outcomes to find probability
· Independent events
· Dependent events
· Permutations
· Combinations
· Finding experimental probability simulating events
· Choosing samples for surveys
· Making estimates about populations
· Arithmetic sequences
· Geometric and other sequences
· Graohong quadratic functions
· Graphing absolute value functions
· Exponential growth
· Exponential decay
· Identifying polynomials
· Evaluating polynomials
· Adding polynomials
· Subtracting polynomials
· Using the area model
· Writing a polynomial as a product
· Using models using the distributive property
· Use multiple strategies
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· Discussions
· Projects
· Worksheets and assignments covering the selected skills
· Test covering the selected skills
· |
· When is it easier to use the quadratic formula to solve a quadratic equation?
· How does being able to factor polynomials effect solving equations?
· What is the benefit to being able to recognize special products?
· How can the Pythagorean Theorem be used in real life?
· How is probability useful in life?
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8.D.4
6.B.5
6.B .4
6.A.4
7.C.4a
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Prentice Hall Pre-Algebra: Tools for a Changing World 2001
Chapters: 11-13 |