| Grades | Clusters | Description | Domain |
| Kindergarten | Counting | Count to 100 by ones and by tens. | NBT | NS | MP |
| Count forward beginning from a given number (instead of having to begin at 1). | NBT | NS |
| Write numbers from 0 to 20. | NBT | NS |
| Represent a number of objects with a given numeral (0 represents no objects). | MP |
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| Count to tell the number of objects. | MP |
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| Nature of Mathematics | Represent and describe numbers 2 to 10, in two parts. | MP |
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| Understanding Addition & Subtraction using objects. | MP |
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| Working with higher numbers (e.g., 18 = 10 + 8). | MP |
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| Shape and Space | Describing length & weight. | MP |
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| Describe Shapes (Squares, Circles, Triangles, Rectangles, Hexagons, Cubes, Cones, Cylinders, and Spheres). | G |
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| Grade 1 | Easy Calculation | Count forward between any two given numbers. | NBT | NS | MP |
| Count backward from 20 to 0. | NBT | NS |
| Count 5s forward from 0 to 100. | NBT | NS |
| Mathematics Foundation | Demonstrate and explain the effect of adding zero to, or subtracting zero from, any number. | MP |
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| Describe and use mental mathematics strategies (Addition & Subtraction). | MP |
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| Describe equalities, using the equal symbol. | MP |
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| Describe equality as a balance and inequality as an imbalance. | MP |
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| Patterns and Relations | Sort objects, using one attribute, and explain the sorting rule. | G |
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| Sort 3D objects and 2D shapes, using its attributes, and explain the sorting rule. | G |
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| Compare 2D shapes to parts of 3D objects in the environment. | G |
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| Grade 2 | General Arithmetic | Addition and Subtraction of any two digit numbers. | MP | NS | MP |
| Multiplication tables from 1 to 10. | MP | NS |
| Demonstrate a number is even or odd (up to 100). | MP | NS |
| Measurement | Relate the number of days to a week and the number of months to a year in a problem-solving context. | MD |
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| Describe length and mass and explain its unit and calculation. | MD |
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| Compare and order objects by length, height, distance around and mass, using nonstandard units, and make statements of comparison. | MD |
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| Constructing Shapes | Demonstrate that changing the orientation of an object does not alter the measurements of its attributes. | G |
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| Describe, compare and construct 2D shapes, including: triangles, squares, rectangles, circles. | G |
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| Describe, compare and construct 3D objects, including: cubes, spheres, cones, cylinders, pyramids. | G |
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| Grade 3 | Algebraic Thinking | Fluently add and subtract within 1000. | OA | NS | MP |
| Understanding of the meanings of multiplication and division. | OA | NS | MP |
| Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, (eg., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000)). | OA | NS |
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| Operations | Multiply one-digit whole numbers by multiples of 10 in the range 10-90. | NF | NS | MP |
| Understanding of fractions on a number line diagram by defining the interval from 0 to 10. | NF |
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| Compare two fractions with the same numerator or the same denominator by reasoning about their size. | NF |
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| Representing numbers equal to, less than, and greater than one. | NF | EE |
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| Basic Geometry | Measuring area for 2D shapes including: triangles, squares, rectangles, circles. | G | MD |
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| Calculating area of triangles, squares, rectangles, circles. | G |
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| Partition of shapes into parts with equal areas. | G |
| MP |
| Grade 4 | Multiplication & Comparision | Describing multiplication equation as a comparison (eg., 35=5*7). | EE |
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| Gain familiarity with factors and multiples. | EE |
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| Understanding of place value to 1,000,000 | NS | MP |
| Understanding of fraction equivalence and operations with fractions (eg., 15/9 = 5/3). | NF |
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| Conversion | Measurement and conversion of measurements including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. | MD |
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| Angle Determination | Measure angles in whole-number degrees using a protractor. | MD |
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| Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. | G |
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| Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines. | G |
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| Identify line-symmetric figures and draw lines of symmetry. | G |
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| Grade 5 | Interesting Calculations | Add and subtract fractions with unlike denominators | NS |
| MP |
| Understandings of multiplication to multiply a fraction or whole number by a fraction. | NS |
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| Finalize fluency with multi-digit addition, subtraction, multiplication, and division (with fractions also). | EE | NS |
| Basic Expressions | Using parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. | EE | F |
| Volume Estimation | Understanding concepts of volume measurement. | MD |
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| Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. | MD |
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| Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. | MP |
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| Knowing Coordinate Plane | Graph points on the coordinate plane to solve real-world and mathematical problems. | MP |
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| Grade 6 | Ratio & Expressions | Understanding the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. | RP |
| MP |
| Write, read, and evaluate expressions in which letters stand for numbers (eg., y + y + y = 3y) | EE |
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| Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. | EE | F |
| Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem | EE | NF |
| 3D Calculations | Find the volume of a right rectangular prism with fractional edge lengths | MD |
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| Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. | MD |
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| Knowing Statistics | Recognizing a statistical question. (eg., How old am I?" is not a statistical question, but "How old are the students in my school?" is a statistical question) | MP |
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| Measuring of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation) | MD |
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| Grade 7 | Ratio in Real World | Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. | RP |
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| Understanding of ratios and proportionality to solve a wide variety of percent problems, including those involving discounts, interest, taxes, tips, and percent increase or decrease. | RP |
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| Advanced Arithmetic | Explain and interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers. | F |
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| Convert a rational number to a decimal using long division | NF |
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| Introduction of π | Solving problems involving the area and circumference of a circle and surface area of three-dimensional objects. | MP |
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| Basic Probability & Sampling | Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. | MP |
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| Comparing two data distributions and address questions about differences between populations. | MD |
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| Develop a probability model and use it to find probabilities of events. | MD |
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| Grade 8 | Roots and Cubes | Using square root and cube root symbols and evaluate square roots of small perfect squares and cube roots of small perfect cubes. | F |
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| Introducing Linear Equations | Analyzing linear equations and solve a variety of problems | EE |
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| Solve pairs of simultaneous linear equations. | EE |
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| Functions | Define, evaluate, and compare functions. | F | RP |
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| Use functions to model relationships between quantities. | F |
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| Introducing Pythagorean Theorem | Understand and apply the Pythagorean Theorem. | MP |
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| Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres. | MP | MD |
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| Basic Statistics | Investigate patterns of association in bivariate data. | MD | MP |
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