A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | |
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1 | Foundations IV | Foundations V | Foundations VI | Foundations VII (Pre-Alg Accl is Foundations 7 & 8) | |||||||||||||||||
2 | Number Operations | Number Operations | Number Operations | ||||||||||||||||||
3 | Read and Write Numbers to One Million | Extend Place Value to Include Decimal Places | Understand, Compare, and Order Integers | ***Integer Operations | |||||||||||||||||
4 | Compare and Round MultiDigit Numbers | Read, Write, Round, and Compare Decimals | Absolute Value and Distance | Operations with Negative Fractions and Mixed Numbers | |||||||||||||||||
5 | Add, Subtract, Multply, and Divide MultiDigit Numbers | Adding and Subtracting Decimals | Multiply and Divide Multi-Digit Whole Numbers | Solve Percent Problems (percent proportion and percent equation) | |||||||||||||||||
6 | Multiplying and Dividing by Multiples of Tens Mentally | Estimating Sums, Differences, Products, and Quotients of Decimals | Divide by Fractions and Mixed Numbers | Classify Numbers | |||||||||||||||||
7 | Mental Multiplication Strategies | Multiply and Divide Multi-Digit Whole Numbers | Understanding Ratios, Equivalent Ratios, and Ratio Problems | ||||||||||||||||||
8 | Estimating Sums, Differences, Products, and Quotients | Understand Powers and Exponents | Understanding Rates and Unit Rates | ||||||||||||||||||
9 | Understanding Remainders | Estimate Products of Multi-Digit Factors | Understanding Percents, Percents > 100% and < 1% | *** Pre-Alg Accel students need to master this before school starts | |||||||||||||||||
10 | Finding Equivalent Fractions | Multiply Decimals | Relate Percents, Decimals, and Fractions | ||||||||||||||||||
11 | Adding and Subtracting Fractions and Mixed Numbers | Dividing with Two Digit Divisors | Find the Percent of a Number | ||||||||||||||||||
12 | Multiply Fraction by a Whole Number | Dividing Decimals by Whole Numbers and Decimals | |||||||||||||||||||
13 | Understanding Decimals | Adding and Subtracting Fractions and Mixed Numbers | |||||||||||||||||||
14 | Multiplying a Fraction by a Fraction | ||||||||||||||||||||
15 | Multiplying Mixed Numbers | ||||||||||||||||||||
16 | Dividing a Fraction by a Whole Number | ||||||||||||||||||||
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18 | Equations and Functions | Equations and Functions | Equations and Functions | ||||||||||||||||||
19 | Identify, Generate, and Analyze Number Patterns | Understanding and Using the Coordinate Plane | The Coordinate Plane and Reflection of a Point | Proportional Relationships (equations, tables, graphs) | |||||||||||||||||
20 | Find Factors and Multiples | Writing, Interpreting, and Evaluating Numerical Expressions | Writing, Interpreting, and Evaluating Numerical Expressions | Simple motion problems (d=rt) | |||||||||||||||||
21 | Identifying and Graphing Numerical Patterns | Identify and Write Equivalent Expressions | Add and Subtract and Factor Linear Expressions | ||||||||||||||||||
22 | Solve One Step Equations | ***Solve Two Step Equations (incl. with distribution and fractions) | |||||||||||||||||||
23 | Understand Inequalities | ***Solve One Step and Two Step Inequalities | |||||||||||||||||||
24 | Explore Relationships Between Two Variables | Clear fractions to rewrite equation without fractions | |||||||||||||||||||
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27 | Data Analysis | Data Analysis | Data Analysis | ||||||||||||||||||
28 | Display and Interpret Line Plots/Graphs | Average | Graphical Displays incl. Dot and Box Plots and Histograms | ***Likelihood and Frequency of Simple Events | |||||||||||||||||
29 | Coordinate Graphs | Measures of Central Tendency: mean, median, mode | Biased and Unbiased Samples, Random Samples, Comparing Populations | ||||||||||||||||||
30 | Line Plots | Statistical Questions | Simulations and Prediction | ||||||||||||||||||
31 | Outliers | Survey design | |||||||||||||||||||
32 | Likelihood and Frequency of Simple Events | One-way and Two-Way Frequency Tables | |||||||||||||||||||
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34 | Geometry | Geometry | Geometry | ||||||||||||||||||
35 | Understand Metric Units | Convert Customary and Metric Units | Area of Parallelograms, Triangles, Trapezoids, and Polygons | ***Vertical and Adjacent Angles | |||||||||||||||||
36 | Understand Customary Units of Weight and Capacity | Measurements on Line Plots | Polygons on a Coordinate Plane | ***Complementary and Supplementary Angles | |||||||||||||||||
37 | Convert Units of Time | Properties of and Classifying Triangles and Quadrilaterals | Surface Area of Prisms and Pyramids | Measure of Angles in Triangles | |||||||||||||||||
38 | Calculating Perimeter and Area | Understand the Coordinate Plane | Volume of Rectangular Prisms | Scale Drawings and Similar Figures | |||||||||||||||||
39 | Classify, Draw, Measure, Add and Subtract Lines and Angles | ***Area and Circumference of Circles and Composite Figures | |||||||||||||||||||
40 | Identify Lines as Parallel, Perpendicular, or Neither | 3D Figures | |||||||||||||||||||
41 | Classify Polygons and Triangles | Volume of Prisms, Pyramids, and Composite Figures | |||||||||||||||||||
42 | Identify and Draw Lines of Symmetry | ***Surface Area of Prisms, Pyramids, and Composite Figures | |||||||||||||||||||
43 | Effect of Dilation on Area and Perimeter | ||||||||||||||||||||
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45 | |||||||||||||||||||||
46 | Problem Solving | Problem Solving | Problem Solving | ||||||||||||||||||
47 | Solve Multi-Step Problems | Look For a Pattern | Physical Representations / Act it Out | Look for Pattern | |||||||||||||||||
48 | Solve word problems | Make a Table | Guess and Check | Systematic Lists | |||||||||||||||||
49 | CUBES Problem Solving Strategy | Solve word problems and multistep word problems | Solve word problems and multistep word problems | ***Work Backwards | |||||||||||||||||
50 | Draw a Diagram: Bar Diagrams Strategy | Solve problems that require higher order thinking | Solve problems that require higher order thinking | Solve multistep word problems | |||||||||||||||||
51 | Solve open-ended problems | Solve open-ended problems | Solve problems that require higher order thinking | ||||||||||||||||||
52 | Solve open-ended problems | ||||||||||||||||||||
53 | Matrix Logic | ||||||||||||||||||||
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56 | Math Fluency | Math Fluency | Math Fluency | ||||||||||||||||||
57 | Round Multi-Digit Whole Numbers | Divisibility Rules | Absolute Value | ***Adding and Subtracting Integers at 1 every 5 seconds | |||||||||||||||||
58 | Multiplication and Division for 1-10; 1 every 5 seconds | Area and Perimeter Formula for Rectangles and Triangles | Ordering Integers | ***Multiplying and Dividing Integers at 1 every 3 seconds | |||||||||||||||||
59 | Multiplication and Division for 1-12; 1 every 5 seconds | Conversions between Decimals, Fractions, and Percents | ***Calculate the percent of a number (tax, discount, etc...) | ||||||||||||||||||
60 | Multiplication and Division for 13-15; 1 every 5 seconds | Classify Numbers | |||||||||||||||||||
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65 | History | History | History | ||||||||||||||||||
66 | Numbers in Ancient Times | History of the Coordinate Plane | Egyptian Fractions; History of Fraction Representation and Calculation | ||||||||||||||||||
67 | Ancient Multiplication | ||||||||||||||||||||
68 | The First Adding Machines | ||||||||||||||||||||
69 | Ancient Number Bases | ||||||||||||||||||||
70 | Philosophy | Philosophy | Philosophy | ||||||||||||||||||
71 | Explore: What is Mathematics? In the World Around Us | Explore: What is Mathematics? In the World Around Us | Explore: What is Mathematics? In the World Around Us | Explore: What is Mathematics? In the World Around Us | |||||||||||||||||
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75 | Portfolio Projects | Portfolio Projects | Portfolio Projects | ||||||||||||||||||
76 | Tangrams | Decimals | Patterns in Converting Fractions to Decimals | Who Uses Math | |||||||||||||||||
77 | Patterns in Numbers | Fibonacci Sequence | Pascal Numbers | Personal Finance Project | |||||||||||||||||
78 | Fraction Frenzy | Area and Volume Discovery | Equations and Balances | Circumference | |||||||||||||||||
79 | Measurements | Consumer Math | Areas and Surface Areas | ||||||||||||||||||
80 | Bases Other Than 10 | Coordinate Plane Art | Personal Finance | ||||||||||||||||||
81 | Divisibility Rules | ||||||||||||||||||||
82 | Scholarship | Scholarship | Scholarship | ||||||||||||||||||
83 | Collaborate with Classmates on class assignments | Collaborate with Classmates on class assignments | Collaborate with Classmates on class assignments | ||||||||||||||||||
84 | Notetaking: Interactive Notebooks and Foldables | Notetaking: Interactive Notebooks and Foldables | Notetaking: Interactive Notebooks and Foldables | ||||||||||||||||||
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100 |