• Math Grade Level Standards

    Fourth Grade

    Number Sense and Operation: Students will solve real world problems using multiplication, division, fractions, and decimals.

    Algebra: Students will solve equations and apply them to real world situations.

    Geometry and Measurement: Students will draw and classify a variety of geometric figures.

    Data Analysis: Students will collect, organize, and interpret data.
    1. Demonstrate fluency with multiplication and division facts
    2. Multiply and divide multidigit numbers
    3. Read, write, compare, and order fractions and decimals
    4. Add and subtract fractions and decimals
    5. Round whole numbers and decimals
    6. Create and use input-output tables involving various operations
    7. Interpret number sentences involving multiplication, division, and unknowns
    8. Describe, classify, compare, and draw polygons and angles
    9. Find the area and perimeter of geometric figures
    10. Apply translations, reflections and rotations to figures
    11. Use table, bar graphs, timelines, and venn diagrams to display data
    Fifth Grade

    Number Sense and Operation: Solve real-world and mathematical problems using arithmetic

    Algebra: Recognize and represent patterns of change; understand and interpret equations and inequalities

    Geometry and Measurement: Describe, classify, and draw representations of 3-D figures; determine the area, surface area and volume

    Data Analysis: Display and interpret data
    1. Divide multi-digit numbers
    2. Read, write, represent and compare fractions and decimals
    3. Recognize and write equivalent fractions
    4. Convert between fractions and decimals
    5. Add and subtract fractions, mixed numbers and decimals to solve real-world and mathematical problems
    6. Recognize and represent patterns of change
    7. Use patterns, tables, graphs and rules to solve real-world and mathematical problems
    8. Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving whole numbers
    9. Understand and interpreted equations and inequalities involving variables and whole numbers, and use them to represent and solve real-world and mathematical problems
    10. Describe, classify, and draw representations of three-dimensional figures
    11. Determine the area of triangles and quadrilaterals
    12. Determine the surface area and volume of rectangular prisms in various contexts
    13. Display and interpret data
    14. Determine mean, median and range
    Sixth Grade

    Number & Operations: Students will be able to multiply and divide fractions and decimals. As well as read,write,and understand fractions, percents, decimals and ratios and how they relate to real world problems.

    Algebra: Students will be able to recognize and represent relationships between varying quantities while using equations to represent real life problems. All while using the idea of equality to solve equations.

    Data Analysis & Probability: Students will be able to use probability to solve real 

    world and mathematical problems

    Geometry & Measurement:: Students will be able to calculate perimeter, area, surface area, and volume of 2 & 3 dimensional figures. Understand angle relationships in geometric figures and convert units of measure in the metric system.  

    1. Determine equivalences among fractions, decimals and percents; select among these representations to solve problems.
    2. Identify and use ratios to compare quantities; understand that comparing quantities using ratios is not the same as comparing quantities using subtraction.
    3. Apply the relationship between ratios, equivalent fractions and percents to solve problems in various contexts, including those involving mixtures and concentrations.
    4. Use reasoning about multiplication and division to solve ratio and rate problems.
    5. Multiply and divide decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
    6. Solve real-world and mathematical problems requiring arithmetic with decimals, fractions and mixed numbers.
    7. Represent real-world or mathematical situations using equations and inequalities involving variables and positive rational numbers.
    8. Solve equations involving positive rational numbers using number sense, properties of arithmetic and the idea of maintaining equality on both sides of the equation. Interpret a solution in the original context and assess the reasonableness of results.
    9. Solve problems in various contexts involving conversion of weights, capacities, geometric measurements and times within measurement systems using appropriate units.
    10. Calculate the surface area and volume of prisms and use appropriate units, such as cm2 and cm3. Justify the formulas used. Justification may involve decomposition, nets or other models.
    11. Determine the sample space for a given experiment. Sample space may be determined by tree diagrams, tables, or pictorial representations
    12. Determine the probability of an event using the ratio between the size of the event and the size of the sample size of the sample space.
    13. Understand that probabilities measure likelihood