Curriculum: Math

Third Grade Math

by Andrea Anderson

March 22, 2005

4.1.1 By the end of fourth grade, students will demonstrate place value of whole numbers through the millions and decimals to the hundredth place.

3.1.1:

Read decimals to the tenths place.

Write in numeral form decimals to the tenths place.

Write in word form decimals to the tenths place.

Read digits to the 100,000 places.

Write digits to the 100,000 places.

Round a 3-digit number to the nearest named place.

4.1.2 By the end of fourth grade, students will (A) write equivalences of whole numbers in expanded form, decimals, and fractions and (B) illustrate equivalences of whole numbers in expanded form, decimals, and fractions.

3.1.2:

Write numbers in expanded form to the tens place.

Represent decimals for common fractions with a denominator of 10

using concrete objects.

Represent 1/10�s with decimals (5/10 = .5).

Represent equivalent fractions for common fractions with denominators of 2, 5, and 10 using concrete objects.

4.1.3 By the end of fourth grade, students will (A) describe relationships between whole numbers, decimals, and fractions by order, comparison, and operation and (B) apply relationships between whole numbers, decimals, and fractions by order, comparison, and operation.

3.1.3:

Compare fractions with denominators of 2, 4, and an 8.

Order fractions with denominators of 2, 4, and 8.

Write the fact families to show the relationship of multiplication and division.

Write equations to show the relationship of multiplication and repeated

addition.

Order numbers to hundred thousands place using <, >, or =.

Compare to the hundred thousands place using <, >, or =.

4.1.4 By the end of fourth grade, students will identify examples of positive and negative numbers and zero.

3.1.4:

Identify positive and negative numbers and zero on a number line.

4.1.5 By the end of fourth grade, students will make change and count out in amounts up to $20.00.

3.1.5:

Count coins and dollars and five-dollar bills in combination up to$10.00.

Make change in amounts up to $10.00.

Computation and Estimation

4.2.1 By the end of fourth grade, students will (A) estimate whole numbers, (B) add, subtract, multiply, and divide whole numbers without and with calculators, and (C) solve word problems.

3.2.1:

Compute up to 4-digit addition problems with regrouping.

Compute up to 4-digit subtraction problems with regrouping.

Multiply 0 - 5.

Divide 0 - 5.

Estimate/solve addition, subtraction, multiplication problems (including money amounts) with and without a calculator.

4.2.2 By the end of fourth grade, students will (A) estimate decimals, (B) add and subtract decimals without and with calculators, and (C) solve word problems.

3.2.2:

Add and subtract decimals to the tenths with and without a calculator.

4.2.3 By the end of fourth grade, students will (A) estimate fractions with like denominators, (B) add and subtract fractions with like denominators, and (C) solve word problems.

3.2.3:

Add fractions with like denominators.

Estimate 1/2, 1/3, 1/4 of a whole.

Measurement

4.3.1 By the end of fourth grade, students will (A) estimate using metric units for linear measure, area, mass/weight, capacity, and temperature,

(B) Measure using standard units for linear measure, area, mass/weight,

capacity, and temperature, (C) solves word problems using standard units for linear measure, area, mass/weight, capacity, and temperature.

3.3.1:

Estimate, measure and solve problems using centimeter, meter and

kilometer.

Using square units to estimate and solve problems to determine the area of a region.

Choose kilogram or gram to estimate and solve problems for mass/weight.

Estimate and solve problems to the nearest liter.

Measure and read temperature using a Celsius thermometer to the nearest marked temperature.

4.3.2 By the end of fourth grade, students will (A) estimate using standard units for linear measure, area, mass/weight, capacity, and temperature, (B) measure using standard units for linear measure, area, mass/weight, capacity, and temperature, and (C) solve word problems using standard units for linear measure, area, mass/weight, capacity, and temperature.

3.3.2:

Estimate, measure, and solve problems using inch, foot, and yard.

Use square units to estimate and solve problems to determine the area

of a region.

Choose pounds or ounces to estimate and solve problems for weight.

Estimate and solve problems to the nearest cup, pint, quart, and gallon.

Measure and read temperature using a Fahrenheit thermometer to the

nearest marked temperature.

Solve word problems using standard units of measure.

4.3.3 By the end of fourth grade, students will (A) tell correct time to the minute using an analog clock and (B) write correct time to the minute using an analog clock.

3.3.3:

Tell correct time to the nearest 5 minutes on an analog clock.

4.3.4 By the end of fourth grade, students will measure and determine the perimeter of a many sided figure without a formula using standard and metric units of measure.

3.3.4:

Determine the perimeter of a 4 - 6 sided figure using standard or nonstandard units of measure.

Determine the perimeter of a 4 - 6 sided figure using metric units of

measure.

Geometry / Spatial Concepts

4.4.1 By the end of fourth grade, students will (A) identify two and three dimensional geometric shapes, (B) describe two and three dimensional geometric shapes, and (C) create two and three dimensional geometric shapes.

3.4.1:

Identify rectangular prism.

Analyze the properties of 2 dimensional shapes.

Explore 2 and 3 dimensional shapes in their environment.

4.4.2 By the end of fourth grade, students will (A) identify points, lines, line segments, rays, and angles and (B) draw points, lines, line segments, rays, and angles.

3.4.2:

Identify a point, line, line segment, and angle.

Draw a point, line, line segment, and angle.

4.4.3 By the end of fourth grade, students will (A) identify two dimensional geometric figures using congruence, symmetry, similarity, and simple transformations, (B) analyze two dimensional geometric figures using congruence, symmetry, similarity, and simple transformations, and (C) compare two dimensional geometric figures using congruence, symmetry, similarity, and simple transformations.

3.4.3:

Identify and compare objects with congruency.

Continue a pattern using geometric shapes.

Identify same shape figures having the same shape but different sizes as

being similar.

Draw a line of symmetry in a figure.

Data Analysis, Probability, and Statistical Concepts

4.5.1 By the end of fourth grade, students will (A) collect, organize, and record data, (B) interpret data, and (C) describe the findings.

3.5.1:

Collect, organize and represent data in a pictograph and clearly communicate the findings.

Algebraic Concepts

4.6.1 By the end of fourth grade, students will (A) use variables and mathematical symbols to write and solve one-step equations and (B) interpret variables and mathematical symbols to write and solve one-step equations.

3.6.1:

Solve a singe-step equation in which a box is used to represent an

unknown quantity.

Write a one-step multiplication and division equation using the correct

mathematical symbols to represent a word problem.

4.6.2 By the end of fourth grade, students will (A) identify arithmetic patterns, using concrete materials and tables, (B) describe arithmetic patterns, using concrete materials and tables, and (C) extend arithmetic patterns, using concrete materials and tables.

3.6.2:

Identify arithmetic patterns using concrete materials and tables.