Theme 1: Survival - Willmar Public Schools

Willmar Public Schools Curriculum Map Subject Area

Math

Course Name

3rd Grade

Date

June 2009

Timeline

Content

Standards Addressed

Skills/Benchmarks

Essential Questions

Assessments

Sept

Unit 1 Place Value

3.1.1 Compare and represent whole numbers up to 10,000, with an emphasis on place value.

Find 1000 more or 1000 less than any given four-digit number. Find 100 more or 100 less than a given four-digit number.

What are different ways numbers can be used?

Unit 1 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.)

Sept

Unit 1 Money

3.3.3 Use time, money and temperature to solve real-world and mathematical problems.

Make change up to one dollar in several different ways, including as few coins as possible. For example: A chocolate bar costs $1.84. You pay for it with $2. Give two possible ways to make change.

Sept

Sept

Unit 1 Time

Units 7 &11 Temperature


Tell time to the minute, using digital and analog clocks. Determine elapsed time to the minute.

(Standard 3.3.3.4 involving the usage of an analog thermometer is taught in 2nd Grade EM, and also in the 3rd Grade Science Measurement Unit.)

For example: Know the number of minutes in an hour, days in a week and months in a year. Local Benchmark: Record temperatures on a line graph. Read temperatures and solve problems.

How is math relevant to me in relationship to money? How can you make change for a dollar in different ways?

When is it important to tell time to the minute?

Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island, NWEA Test Unit 1 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island, NWEA Test Unit 1 Unit 11 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island, NWEA Test

When would knowing how to read a thermometer be beneficial to you?

Units 7 & 11 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island, NWEA Test

Willmar Public Schools Curriculum Map Timeline

Content

Standard

Benchmark

Essential Questions

Assessments

Oct

Unit 2 Adding and Subtracting Whole Numbers

3.1.2 Add and subtract multi-digit whole numbers; represent multiplication and division in various ways; solve realworld and mathematical problems using arithmetic.

Add and subtract multi-digit numbers, using efficient and generalizable procedures based on knowledge of place value, including standard algorithms.

What are different ways to count?



Use addition and subtraction to solve real-world and mathematical problems involving whole numbers. Assess the reasonableness of results based on the context. Use various strategies, including the use of a calculator and the relationship between addition and subtraction, to check for accuracy.

What strategies would you use to add and subtract numbers?

Oct

Oct

Oct/Nov

Oct/Nov

Unit 2 Adding and Subtracting Whole Numbers

Unit 2 Algebra - What’s My Rule?

Unit 3 Linear Measures and Area


3.2.1 Use single-operation input-output rules to represent patterns and relationships and to solve real-world and mathematical problems.

For example: The calculation 117 83 = 34 can be checked by adding 83 and 34. Create, describe, and apply singleoperation input-output rules involving addition, subtraction and multiplication to solve problems in various contexts. (multiplication part not yet )

3.3.2 Understand perimeter as a measurable attribute of real-world and mathematical objects. Use various tools to measure perimeter.

Use half units when measuring distances.


Find the perimeter of a polygon by adding the lengths of the sides.

Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island

In which ways are numbers represented in everyday life?

Unit 2 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island

Where could you see input-output rules in the real-world?


When would it be helpful to know how to use half units when measuring distances?

For example: Measure a person’s height to the nearest half inch.

Unit 3 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island,

How would measuring distances around objects help you in the real-world?



Content

Standard

Benchmark

Oct/Nov



Measure distances around objects.


Represent multiplication facts by using a variety of approaches, such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line and skip counting. Represent division facts by using a variety of approaches, such as repeated subtraction, equal sharing and forming equal groups. Recognize the relationship between multiplication and division. Use multiplication and division basic facts to represent a given problem situation using a number sentence. Use number sense and multiplication and division basic facts to find values for the unknowns that make the number sentences true.

Nov

Nov

Unit 4 Multiplication and Division


3.2.2 Use number sentences involving multiplication and division basic facts and unknown to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.

Essential Questions

Assessments Unit 3 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.)

For example: Measure the distance around a classroom, or measure a person’s wrist size.

What are different models for multiplication and division? What questions can be answered using multiplication and division?

How can knowing your multiplication and division facts help you in the realworld? What are different efficient models for finding products and quotients?

Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island, NWEA Test Unit 4 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island


For example: Find values for the unknowns that make each number sentence true. 24 = a x b 5x 8=4xt

Dec

Unit 5 Place Value in Whole Numbers and Decimals


Another example: How many math teams are competing if there is a total of 45 students with 5 students on each team? This situation can be represented by 5 x n = 45 Read, write and represent whole numbers up to 10,000. Representations may include numerals, expressions with operations, words, pictures, number lines, and manipulatives such as bundles of sticks and base 10 blocks.

What are different ways to show numbers? Where are numbers to 10,000 found in everyday life? How do numbers to 10,000 affect our daily lives?

Unit 5 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island,


Content

Standard

Benchmark

Essential Questions

Dec



Use place value to describe whole numbers between 1000 and 10,000 in terms of groups of thousands, hundreds, tens and ones.

How can you show numbers between 1000 and 10,000 in different ways?

For example: Writing 4,873 is a shorter way of writing the following sums:

Dec



4 thousands + 8 hundreds + 7 tens +3 ones 48 hundreds + 7 tens + 3 ones 487 tens +3 ones Round numbers to the nearest 1000, 100 and 10. Round up and round down to estimate sums and differences.

Assessments Unit 5 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island

How does rounding and estimating numbers to the nearest 1000, 100 and 10 help you in problem solving?

For example: 8726 rounded to the nearest 1000 is 9000, rounded to the nearest 100 is 8700, and rounded to the nearest 10 is 8730.


Another example: 473-291 is between 400-300 and 500-200, between 100-300. Dec



Compare and order whole numbers up to 10,000.

How does comparing and ordering of whole numbers aid in problem solving?

Unit 5 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments, (T.E.) EM Mid-Year Test Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island

Jan

Unit 6 Geometry

3.3.1 Use geometric attributes to describe and create shapes in various contexts.

Identify parallel and perpendicular lines in various contexts, and use them to describe and create geometric shapes, such as right triangles, rectangles, parallelograms and trapezoids.

Where are geometric shapes found in our surroundings?

Unit 6 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island, NWEA Test


Content

Standard

Benchmark

Essential Questions

Assessments

Jan

Unit 6 Geometry

3.3.1 Use geometric attributes to describe and create shapes in various contexts.

Sketch polygons with a given number of sides or vertices (corners), such as pentagons, hexagons and octagons.

How do geometric patterns and relationships affect our everyday lives?

Unit 6 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island, NWEA Test

Jan/Feb


3.2.1 Use single-operation input-output rules to represent patterns and relationships and to solve real-world and mathematical problems.

Create, describe, and apply singleoperation input-output rules involving addition, subtraction and multiplication to solve problems in various contexts.

How does knowing input-output rules help you in the real-world?


For example: Describe the relationship between number of chairs and number of legs by the rule that the number of legs is four times the number of chairs. Feb

Feb




3.2.2 Use number sentences involving multiplication and division basic facts and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.

Solve real-world and mathematical problems involving multiplication and division, including both “how many in each group” and “how many groups” division problems. For example: You have 27 people and 9 tables. If each table seats the same number of people, how many people will you put each table? Another example: If you have 27 people and tables that will hold 9 people, how many tables will you need? Understand how to interpret number sentences involving multiplication and division basic facts and unknowns. Create realworld situations to represent number sentences. For example: The number sentence 8 x m =24 could be represented by the question “How much did tickets to a play cost if 8 tickets totaled $24?


How is multiplication and division relevant in our daily lives?


How can knowing your multiplication and division facts help you solve realworld problems?



Content

Standard

Benchmark

Essential Questions

Assessments

Mar

Unit 8 Fractions

3.1.3 Understand meanings and uses of fractions in real-world and mathematical situations.

Read and write fractions with words and symbols. Recognize that fractions can be used to represent parts of a whole, parts of a set, points on a number line, or distances on a number line.

When are fractions and whole numbers used together in real life?


Mar

Mar

Mar/Apr

Apr

Unit 8 Fractions

Unit 8 Fractions


Unit 10 Measurement and Data




3.4.1 Collect, organize, display, and interpret data. Use labels and a variety of scales and units in displays

For example: Parts of a shape (3/4 of a pie), parts of a set (3 out of 4 people), and measurements (3/4 of an inch). Understand that the size of a fractional part is relative to the size of the whole. For example: One-half of a small pizza is smaller than one-half of a large pizza, but both represent onhalf. Order and compare unit fractions and fractions with like denominators by using models and an understanding of the concept of numerator and denominator.

Use strategies and algorithms based on knowledge of place value and properties of addition and multiplication to multiply a two- or three-digit number by a one-digit number. Strategies may include mental strategies, partial products, the standard algorithm, and the commutative, associative, and distributive properties. For example: 9 x 26 = 9 x (20 +6) = 9 x 20 + 9 x 6 = 180 + 54 = 234. Collect, display and interpret data using frequency tables, bar graphs, picture graphs and number line plots having a variety of scales. Use appropriate titles, labels and units.


How can knowing fractions help you in your daily life?


How can fractions be compared and ordered in the real life?


What are some strategies you can use to multiply a two- or three-digit number by a one-digit number?


How do you use information gained to solve problems?



Content

Standard

Benchmark

Essential Questions

Assessments

Apr

Unit 11 Probability (There is not a 3rd Grade Standard involving probability. However, it does appear on MCA and NWEA tests.) Unit 11 Time

Local Standard: Explore the basic concept of probability.

Local Benchmark: Students will solve probability problems.

How is probability used to predict outcomes in problem-solving?


Apr

May


Know relationships among units of time.

When would knowing the relationships between units of time be helpful?

For example: Know the number of minutes in an hour, days in a week and months in a year.

Review

How is math relevant in our daily lives?

Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island Unit 11 Math Boxes, Review Test, End of Unit Checking Progress Test, Alternative Assessments (T.E.) Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island EM End-of-Year Test Journal Writings, Teacher Observations, Portfolio Items, Interest Inventories, Study Island, NWEA Test

Content -- big ideas, broad topics, major subcategories and underlying concepts Standards Addressed -- state and/or local standards Skills/Benchmarks -- tells what the student will be able to do as a result of instruction Essential Questions -- what overarching questions will guide instruction and produce higher levels of thinking? Assessments -- evidence that the student understands the concepts, demonstration of skills