Grade 3 Math Standards
Content Standard: 1.0 - Numbers and Operations
The student will develop number and operation sense needed to represent numbers and number relationships verbally, symbolically, and graphically and to compute fluently and make reasonable estimates in problem solving.
Learning Expectation
1.1 Count, read, write, order, and compare numbers.
Grade Markers
Level 1
3.1.1a. Read all numbers to 10,000.
3.1.1b. Write numbers given verbally to 10,000.
Levels 2-3
3.1.1c. Compare whole numbers using greater than, less than, and equal to.
3.1.1d. Use a number line to show an understanding of math.
3.1.1e. Skip count by three.
3.1.1f. Write number to 10,000 in expanded notation (45 = 40 + 5).
3.1.1g. Design number lines for different situations.
3.1.1i. Represent differences between number on number line.
3.1.1j. Label number line correctly (0, end point, key units)
Learning Expectation
1.2 Understands place values and uses rounding.
Grade Markers
Levels 1-3
3.1.2a. Find and describe place value to 10,000.
3.1.2b. Understand and describe place value to the ten-thousands place.
3.1.2c. Line up numbers by correct place value.
3.1.2d. Write answers in correct place value.
3.1.2e. Know to make one’s place “0” when rounding to tens.
3.1.2f. Round up when number is five or greater.
3.1.2g. Add one to ten’s place when rounding up.
3.1.2h. Round down when number is less than five.
3.1.2i. Keep ten’s place same when rounding down.
3.1.2j. Round two-and three-digit numbers to ten’s place.
Learning Expectation
1.3 Demonstrates a clear understanding of basic arithmetic operations.
Grade Markers
Level 1
3.1.3a.Use addition/subtraction to four digits with ease and comfort.
Levels 2-3
3.1.3b. Label answers, if appropriate.
3.1.3fc Know the multiplication and the corresponding division fact families.
3.1.3d. Multiply mentally by 10 and 100.
3.1.3e. Use basic multiplication and division skills.
3.1.3f. Write/solve division equations with single digits.
3.1.3g. Divide a 2-digit number by a 1-digit number with remainder.
3.1.3h Understand the zero property of multiplication.
3.1.3i. Add/ subtract with or without regrouping to 4 digits.
3.1.3j. Show regrouping marks.
3.1.3k. Multiply 2-digit number by 1-digit number.
3.1.3l.
Understand the commutative property of addition and multiplication.
Learning Expectation
1.4 Understands and uses fractions and decimals.
Grade Markers
Levels 1-3
3.1.4a. Know terms numerator and denominator.
3.1.4b. Read fractions with denominators 2,3,4,5,6,8, 10.
3.1.4c. Write fractions with denominators 2,3,4,5,6,8, 10.
3.1.4d. Compare fractions by denominator size 2,3,4,5,6,8, 10.
3.1.4e. Compare fractions with like denominators.
3.1.4f. Understand the meaning and structure of fractions between zero and one.
3.1.4g. Place fractions with like denominators to 10 in order.
3.1.4h. Read, write and compare decimals.
3.1.4i. Place decimal point in correct place in answer.
Levels 2-3
3.1.4j. Understand and write simple mixed numbers.
3.1.4k. Add and subtract fractions with like denominators.
3.1.4l. Solve problems using fractions (pictures, comparing).
Learning Expectation
1.5 Understands money and its numerical value.
Grade Markers
Level 1
3.1.5a. Read and write amounts of money to $99.99
3.1.5b. Count money up to $10.00
3.1.5c. Explain value of penny, nickel, dime, quarter, and half-dollar.
Levels 2-3
3.1.5d. Add money to $9.99.
3.1.5e. Subtract money to $9.99.
3.1.5f. Read, write, and compare decimals and money.
3.1.5g. Place decimal point in correct place in answer of a money-related problem.
Content Standard: 2.0 - Algebra.
The student will understand and analyze generalize patterns and problems as they represent quantitative relationships and change in a variety of contexts using graphs, tables, and equations.
Learning Expectation
2.1 Uses graphic organizers/ number line to represent/solve problems.
Grade Markers
Levels 1-3
3.2.1a. Use number line to solve addition/subtraction problems
3.2.1b. Use patterns to make predictions, solve problems, and identify relationships.
Learning Expectation
2.2 Understands, writes, and solves equations and inequalities involving variables.
Grade Markers
Levels 1-3
3.2.2a. Understand and explain arithmetic relationships in equations and inequalities.
3.2.2b. Write and solve equations and inequalities.
3.2.2c. Understand and use grouping symbols e.g. 8+6 = 8+(2+4) and (8+2)+4 = 8+(2+4) = 14
Content Standard: 3.0 – Geometry.
The student will develop an understanding of geometric concepts and relationships as the basis for geometric modeling, reasoning, and problem solving involving one-,two-, and three-dimensional figures.
Learning Expectation
3.1 Draws, explains, and uses geometric shapes.
Grade Markers
Level 1
3.3.1a. Identify and describe three-dimensional figures (e.g. cubes, spheres, cylinders, cones, pyramids, and prisms).
Levels 2-3
3.3.1b. Analyze and describe two-and three-dimensional objects such as vertex, edge, angle, side, and face.
3.3.1c. Identify shapes that can be put together to make a given shape, e.g. tangrams.
3.3.1d. Investigate simple nets (e.g. fishing net, hair net)
3.3.1e. Identify, measure, and draw squares.
3.3.1f. Identify, measure, and draw circles.
3.3.1g. Identify, measure, and draw triangles.
3.3.1h. Identify, measure, and draw rectangles.
3.3.1i. Identify, measure, and draw pentagons, hexagons, and octagons.
3.3.1j. Recognize congruency and similarity.
Learning Expectation
3.2 Applies knowledge of shapes, objects, and space.
Grade Markers
Levels 1-3
3.3.2a. Add to find perimeter.
3.3.2b. Count cubes to determine volume
Learning Expectation
3.3 Constructs and uses graphs in interpreting and solving problems.
Grade Markers
Levels 1-3
3.3.3a. Use graph paper to draw and measure rectangles.
3.3.3b. Use graph paper to draw rectangles.
3.3.3c. Use graph paper to measure area and perimeter.
3.3.3d. Find and name locations on a labeled grid or coordinate system.
3.3.3e. Use graph paper to draw rectangles.
Learning Expectation
3.4 Investigates symmetry by drawing and measuring.
Grade Markers
Levels 1-3
3.3.4a. Recognize symmetrical shapes.
3.3.4b. Draw lines of symmetry.
3.3.4c. Use mirror images to replicate symmetrical objects
Content Standard: 4.0 - Measurement.
The student will become familiar with the units and processes of measurement in order to use a variety of tools, techniques, and formulas in estimating and solving textbook and real-world problems.
Learning Expectation
4.1 Identifies and measures time, temperature, and money.
Grade Markers
Levels 1-3
3.4.1a. Understand second, minute, hour for short time.
3.4.1b. Understand day, week, month, year for long time.
3.4.1c. Understand and use a calendar.
3.4.1d. Understand and use time tools (watch, clock, stopwatch) to tell time to the minute, before and after the hour, using digital and analog clock.
3.4.1e. Compare and schedule situations involving time using the calendar.
3.4.1f. Measure time (elapsed, backwards to zero, blocks).
3.4.1g. Read and understand a simple time line.
3.4.1h. Understand temperature terms and measures using Celsius and Fahrenheit.
3.4.1i. Understand and use temperature words (cold, hot, freezing, boiling)
Level 3
3.4.1j. Research external, appropriate/desirable temperatures.
Learning Expectation
4.2 Uses standard and metric units when measuring/comparing lengths.
Grade Markers
Levels 1-3
3.4.2a. Estimate/measure and select appropriate tool.
3.4.2b. Select the appropriate unit and how accurate to measure.
3.4.2c. Locate the “0” on measuring tool.
3.4.2d. Count each whole as one whole unit.
3.4.2e. Continue measuring whole units until end point is reached.
3.4.2f. Count number of whole measures.
3.4.2g. Label measurement with correct unit.
3.4.2h. Measure lengths greater than one unit accurately.
3.4.2i. Measure to nearest inch/foot or centimeter.
3.4.2j. Use appropriate tools, draws a line or shape with specified measurements.
Learning Expectation
4.3 Uses standard and metric units when measuring/comparing weight/volume.
Grade Markers
Levels 1-3
3.4.3a. Measure weights larger than one unit accurately.
3.4.3b. Measure volumes larger than one unit accurately.
3.4.3c. Measure to nearest ounce/pound or ounce/cup/quart.
Content Standard: 5.0 – Statistics, Data Analysis and Probability.
The student will understand and apply basic statistical and probability concepts as they organize and analyze data to make predictions and conjectures.
Learning Expectation
5.1 Designs, conducts, tallies, graphs, and interprets surveys/ studies.
Grade Markers
Levels 1-3
3.5.1a. Use probability vocabulary.
3.5.1b. Use graphing words (title, label, and key)
3.5.1c. Use likelihood words (certain, impossible, equally likely).
3.5.1d. Write questions that can be answered by observation (e.g. number of people eating certain foods, number of cars passing in five minutes, number of boys or girls who wear glasses, number of people wearing a certain color).
3.5.1e. State how data will be gathered.
3.5.1f. State how many trials and/or length of time for the count.
3.5.1g. Keep track of data.
3.5.1h. Use bar or line graph to represent data.
3.5.1i. Describe results of study.
3.5.1j. Describe likelihood (certain, impossible, likely, unlikely) based on results of study.
