
Pre-Algebra
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Themes
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Algebraic Expressions and integers: How are quantitative relationships represented by numbers? |
Solving Equations: |
Exponents and Scientific Notation: How are quantitative relationships represented by numbers? |
Exponents and Scientific Notation: How are quantitative relationships represented by numbers? |
Ratios, Proportions and Percents |
Linear Functions and Graphing
CMT Prep |
Linear Functions and Graphing
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Area and Volume |
Right Angles and Algebra |
Summative Evaluations and Course Synthesis |
Topics
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Variables and Expressions Order of Operations Integers |
Solving Equations Metrics Decimals |
Exponents and Scientific Notation
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Fractions & Decimals: Mixed Numbers
Converting Customary Units |
Percent Equations Similar Figures Data Analysis |
Data Analysis
Slopes
Equations with 2 variables
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Data Analysis
Slopes
Scatter Plots |
Area
Volume
Space Figures |
Square Roots
Irrational Numbers
The Pythagorean Theorem |
Learning |
Standards
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1.3 a. Use and extend algebraic concepts to include real and complex numbers, vectors and matrices. |
2.1a. Represent real- world situations and solutions to problems using the appropriate symbolic form (fractions, decimals or percents). |
. 2.1b. Understand the use of scientific notation as related to powers of ten as an efficient method for writing and comparing very large numbers |
2.1c. Use percents to make comparisons between groups of unequal size. |
4.1a. Select the appropriate visual representation of data based on the kind of data collected and the purpose for its use.
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4.2 a. Understand that measures of central tendency and spread can be used to describe data sets and justify conclusions. 4.3 a. Compare and determine experimental and theoretical probabilities. |
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3.2a. Understand how three-dimensional objects can be represented in two dimensions using base plans (footprints), orthogonal views, nets and isometric drawings. |
3.1a. Describe and classify polygons according to their transformational properties.
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All Standards review and evaluation |
Major Skills
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Students will: Write/Evaluate numerical expressions Simply numerical expressions Utilize order of operations Represent, graph & order integers Determine opposites and absolute value Write rules for patterns Identify/graph ordered pairs. |
Students will: Classify equation types Solve equations involving integers Using addition, subtraction, multiplication and division. Solve 2 step equations
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Students will: Find factors using divisibility Simplify variable expressions Use scientific notation Compare/order fractions Accurately add, subtract multiply an divide fractions. Convert customary units.
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Students will: Accurately add, subtract multiply an divide mixed numbers.
Accurately add, subtract multiply an divide fractions.
Convert customary units.
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Students will: Simply ratios Calculate rates and unit rates Solve proportions accurately Use proportions to solve real world problems Calculate probability and odds Express decimals an fractions as percents (review) |
Students will: Construct and interpret graphs using real world relationships between variables.
Explore change rate using graphing calculators, tables and graphs
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Students will: Use a table to plot/graph linear functions
Determine slope of line
Interpret/Draw scatter plots
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Students will: Find area of Rectangles, parallelograms, triangles, trapezoids, circles, irregular figures.
Determine surface area and volume of 3 D figures
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Students will: Calculate squares and square roots of numbers
Use Pythagorean Theorem to identify right triangles. |
Students will: Summarize course knowledge and examine year long achievement. |
Textbook Chapters |
Chapter 1 and 2: Algebraic Solving Equations and Equalities |
Chapters 3 Decimals and 7.1 Equations |
Chapters 4: Factors, Fractions and Exponents |
Chapter 5: Operations with Fractions |
Chapter 6: Ratios, Proportions and Perspective |
Chapter 8: Linear Functions and CMT review |
Rally Book, Level H, CMT Prep |
Chapter 10: Area and Volume |
Chapter 11: Right Triangles and Algorithms |
Summative Math Assessments and Course Review |
Coached Projects |
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Mass Confusion: Balance scales, equations and inequalities |
Big Division and Big Decision: Use divisibility rules to design your own calendar |
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Project Graduation: Know your variables! |
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Seminars
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Entertaining Mathematical Puzzles (Probability) |
Entertaining Mathematical Puzzles (Arithmetic) |
Laws of Exponents |
Spider Legs |
Spinners/101 Cooperative Learning Activities |
Entertaining Mathematical Puzzles (Speed Puzzles) |
The Dismantling Tree |
How Do You Say “I Love You “ in Artithmetic? |
Triangle Problem |
Are Only Some People Good at Math? |



