SAMPLE MATERIAL INSIDE - Nelson

SAMPLE MATERIAL

INSIDE

FINDING EACH STUDENT'S PATHWAY

Math Pre-Assessment is a uniquely designed resource to help educators understand and customize each student's math education. The resource is developed by a team of expert math educators and backed by research. Math Pre-Assessment enables educators to compare a student's math understanding to their curriculum, identify gaps in understanding and ensure each student is ready for new curriculum material all with this easy to use assessment tool.

Each pre-assessment is created from a DEVELOPMENTAL TRAJECTORY. These developmental trajectories are research-supported pathways that students go through to understand mathematics concepts and skills as they move along a learning continuum.

Developmental Trajectory

Key Features

Q Provides the developmental trajectories to give a whole picture of math development from grade 1?6.

Q Assesses whether students have the procedural knowledge and conceptual understandings for the grade specific curriculum.

Q Pre-assessments identify where a student is on the developmental trajectory. Q Includes next steps for instruction, gap closing or intervention. Q Tracking tools are provided to keep a record of student readiness.

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STRAND: NUMBER

Foundational Understandings

Numbers are used to describe quantities.

A number can be represented concretely, pictorially, and symbolically.

A number can be represented in various equivalent ways.

Our number system is based on 10.

Benchmarks and referents can be used to relate numbers and estimate.

Addition results in a total. Subtraction results in a difference.

Multiplication is repeated addition. Division is repeated subtraction.

The operations of addition, subtraction, multiplication, and division are interrelated.

Financial literacy is the basis for making responsible decisions about money, and considering the impact the decisions have on oneself and on others.

DRAFT Solving problems helps students learn about numbers, operations, and financial literacy both inside and outside the classroom.

Applications

COUNTING

Rote Counting Forward and Backward

Counting Principles

Count On and Count Back

Count Objects

Skip Counting

Ordinal Counting

Estimate Quantities

PLACE VALUE AND REPRESENTING NUMBERS

Subitize

Represent Whole Numbers Concretely, Pictorially, Symbolically

Compose and Decompose Numbers

Compare, Order, Relate Whole Numbers

Represent Integers

Compare Integers

FRACTIONS AND DECIMAL NUMBERS

Represent Quantities with Fractions

Equivalent Fractions

Proper Fractions, Improper Fractions, Mixed Numbers

Represent Decimals Concretely, Pictorially, Symbolically

Relate Fractions and Decimals

Compare and Order Fractions and Decimals

RATIOS, PERCENTS, PROPORTIONAL REASONING

Ratios

Percents

Proportional Reasoning

ADDITION

Meaning of Addition

Single-Digit Addition

Addition Properties

Relate Addition and Subtraction

Recall Addition Facts

Mental Math Strategies for Addition

Estimation Strategies for Addition

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SUBTRACTION

Meaning of Subtraction

Single-Digit Subtraction

Subtraction Properties

Relate Subtraction and Addition

Recall Subtraction Facts

Mental Math Strategies for Subtraction

Estimation Strategies for Subtraction

Subtraction Strategies with Multi-digit Whole Numbers

Subtract Decimals

HOW IT WORKS

Answering The Question:

"Are My Students Ready?"

NEXT STEPS

STOP: student needs gap closing

PRE-ASSESSMENT

O Each item on the trajectory has a preassessment

O Pre-assessments are a single page and take little classroom time

O Easy to administer and score

ANALYSIS CHART

O Includes suggested answers, rationale and next steps

CAUTION: student may have partial understanding or small gaps

GO: student is ready to learn the grade level curriculum expectation or outcome

Resource Overview Grades 1?6

Developmental Trajectories For each of the 5 Strands Math Pre-Assessments For each item on the trajectory Scoring Guide and Analysis Charts Provided for each pre-assessment Online Teaching Centre Digital access

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PRE-ASSESSMENT

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Name

Numbers to 1 000 000

1. Which number does the place value chart show? Circle it.

A. 30 125

B. 315

C. 3125

D. 3120

Thousands

Hundreds

Tens

Ones

Date

MATERIALS ? counters (optional) ? a place value chart (optional)

2. Which number does the place value chart show? Circle it.

A. 2464

B. 24 064

C. 240 064 D. 20 064

Ten thousands Thousands Hundreds Tens Ones

DRAFT 3. Write the number. a) 5 thousands 1 1 hundred 1 8 tens 1 6 ones 5 b) 80 000 1 200 1 20 1 5 5

4. Use the place value chart.

Hundred thousands

Ten thousands

Thousands

Hundreds

Tens

4

5

7

6

0

a) How many tens does the place value chart show? b) Does the place value chart show more hundred thousands or ten thousands? How do you know?

Ones 9

5. Draw lines to match the numbers.

63 859 60 323 693 211

600 000 1 90 000 1 3000 1 200 1 10 1 1 60 000 1 3000 1 800 1 50 1 9 60 000 1 300 1 20 1 3

Analysis Chart page XX

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ANALYSIS CHART

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Numbers to 1 000 000: Pre-assessment page xx

NUMBER Place Value and Representing

Numbers

Numbers to 1 000 0R0e0p:rePsernet -WahsosleeNsusmmbeersnCtopncaregteely,xx

Pictorially, Symbolically

NUMBER Place Value and Representing

Numbers

QUESTIONRSepresent Whole NumbersRCAonTcIrOeteNlyA, LE

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SCORING

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NEXT STEPS

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QUESTIONS

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693 211: 600 000 + 90 000 +

3000 + 200 + 10 + 1

RATIONALE

SCORING

NEXT STEPS

StudentsRAcoTmIOpaNrAe LdEigits on a

place value chart and explain

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each digit in numbers.

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Math Pre-Assessment Order Information

Title Math Pre-Assessment Grade 1 Book + Online Teaching Centre (Ontario) Book + Online Teaching Centre (WNCP) Book + Online Teaching Centre (BC) Math Pre-Assessment Grade 2 Book + Online Teaching Centre (Ontario) Book + Online Teaching Centre (WNCP) Book + Online Teaching Centre (BC) Math Pre-Assessment Grade 3 Book + Online Teaching Centre (Ontario) Book + Online Teaching Centre (WNCP)

Book + Online Teaching Centre (BC) Math Pre-Assessment Grade 4 Book + Online Teaching Centre (Ontario) Book + Online Teaching Centre (WNCP) Book + Online Teaching Centre (BC) Math Pre-Assessment Grade 5 Book + Online Teaching Centre (Ontario) Book + Online Teaching Centre (WNCP) Book + Online Teaching Centre (BC) Math Pre-Assessment Grade 6 Book + Online Teaching Centre (Ontario) Book + Online Teaching Centre (WNCP) Book + Online Teaching Centre (BC) Math Pre-Assessment Grade 7 Book + Online Teaching Centre (Ontario) Math Pre-Assessment Grade 8 Book + Online Teaching Centre (Ontario)

ISBN

9780176830892 9780176833497 9780176833558

9780176830908 9780176833503 9780176833565

9780176830915 9780176833510 9780176833572

9780176830922 9780176833527 9780176833589

9780176830939 9780176833534 9780176833596

9780176830946 9780176833541 9780176833602

9780176903992

9780176904005

ISBN-13: 978-0-17-692120-0 ISBN-10: 0-17-692120-6

9 780176 921200

@NELSONPK20



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