Title: Instructions
1Instructions
Math
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2Math
3Math
Strand
Numbers Operations
4Strand
Math
Numbers Operations
Understand numbers, ways of representing numbers,
relationships among numbers, and number systems.
5Topic Numbers Number Systems
Use place value manipulatives or drawings to show
different ways of representing a number (e.g.,
represents 0.20 with 2 tenths units or 20
hundredths units).
6Topic Numbers Number Systems
Categorize a number as odd or even and use a
drawing or model to justify the decision (e.g.,
counting out that many objects and seeing if they
can be separated into two even groups, or by
looking at the ones place and saying if it can be
divided by two).
7Topic Numbers Number Systems
Represent fractions with fraction strips or tile
to show which fraction is greater than the other.
8Topic Numbers Number Systems
Model the information in a problem with drawings
or manipulatives, then solve the problem.
9Strand
Math
Numbers Operations
- Standard 2
- Operation Sense
Understand the meaning of operations and how they
relate to each other.
10Topic Operations
Write a number sentence to represent a
multiplication situation (e.g., "Sue had three
boxes. She placed 4 toy cars in each of the
boxes. How many toy cars did she have altogether?
4 4 4 12 or 4 x 3 12").
11Topic Operations
Select and demonstrate an appropriate strategy to
represent multiplication (or division) and
determine the answer.
12Topic Operations
Demonstrate that multiplication and division are
related. Write all the related multiplication and
division problems starting with a given problem
(e.g., 7 x 8 56, 8 x 7 56, 56 8 7, 56 7
8).
13Topic Operation Properties
Use a combination of commutative and associate
property to make it easier to add whole numbers
mentally (e.g., when adding 37 24 13, apply
the properties 37 13 24 to make it easier
to perform the computation mentally).
14Strand
Math
Numbers Operations
- Standard 3
- Computation Strategies
Use computational tools and strategies fluently
and, when appropriate, use estimation.
15Topic Computational Fluency
State the single-digit multiplication facts
(from 0 x 0 to 10 x 10).
16Topic Computational Fluency
Use a variety of strategies to solve problems
involving addition and subtraction of two- and
three-digit numbers
17Topic Estimation
Use an estimation strategy to mentally
determine an answer that should be reasonably
close to the actual answer.
18Math
Strand
Measurement
19Strand
Math
Measurement
- Standard 4
- Fluency with Measurement
Understand attributes, units, and systems of
units in measurement develop and use techniques,
tools, and formulas for measuring.
20Topic Measurement Attributes and Units
Explain the difference between how area and
volume are measured and describes the units that
are used for each.
21Topic Measurement Attributes and Units
Measure area and volume using standard and
non-standard units (e.g., tiles, index cards,
grids, cubes).
22Topic Measurement Attributes and Units
Measure length, capacity, and weight in U.S.
customary and metric units (e.g., pound,
kilogram).
23Topic Measurement Attributes and Units
Estimate and determine the elapsed time between
two events or times.
24Topic Measurement Tools and Techniques
Select appropriate tools for measuring length,
capacity, and weight explain why that tool was
chosen over a different tool.
25Topic Measurement Tools and Techniques
Estimate and measure perimeter and area of common
shapes and irregular (e.g., a house-shaped
pentagon) shapes.
26Math
Strand
Geometry Spatial Sense
27Strand
Math
Geometry Spatial Sense
- Standard 5
- Properties and Relationships
Analyze properties of objects and relationships
among the properties.
28Topic Geometric Shapes, their Properties and
Relationships
Compare and contrast the basic properties of
isosceles, equilateral, and right triangles.
29Topic Geometric Shapes, their Properties and
Relationships
Sorts shapes into groups by classifying them as
congruent or similar shapes.
30Strand
Math
Geometry Spatial Sense
- Standard 6
- Transformations Symmetry
Use transformations and symmetry to analyze
mathematical situations.
31Topic Transformation
Predict and confirm the result of flipping,
sliding, and turning shapes.
32Topic Transformation
Use flips, slides, and turns to show that a shape
or design is symmetrical.
33Topic Symmetry
Identify simple figures that have rotational
symmetry and explains why they have rotational
symmetry.
34Strand
Math
Geometry Spatial Sense
- Standard 7
- Visual and Spatial Sense
Use visualization and spatial reasoning to solve
problems both within and outside of mathematics.
35Topic
No Benchmarks for Grade 3.
36Strand
Math
Geometry Spatial Sense
- Standard 8
- Representational Systems
Select and use different representational
systems, including coordinate geometry.
37Topic Coordinate Geometry
Use coordinates to locate objects/locations on a
grid. Place an X or token on a grid at a named
point.
38Math
Strand
Patterns, Functions, Algebra
39Strand
Math
Patterns, Functions, Algebra
- Standard 9
- Patterns Functional Relationships
Understand various types of patterns and
functional relationships.
40Topic Patterns
Create a growing numeric pattern (e.g. 2, 4, 6,
8) and explain the rule that is used to generate
and continue the pattern.
41Topic Patterns
Analyze a series of pictures (or a table of
values) that shows one quantity changing as the
another quantity changes find and describe the
pattern.
42Topic Patterns
Identify and describe patterns in a hundreds
chart.
43Strand
Math
Patterns, Functions, Algebra
- Standard 10
- Symbolic Representation
Use symbolic forms to represent, model, and
analyze mathematical situations.
44Topic Numeric and Algebraic Representations
Read a story/problem that involves multiplication
(or division), represent the situation with a
picture or model, write a number sentence for the
problem, and solve the problem.
45Topic Rates of Change
Record data (e.g., the temperature taken at
1-hour intervals) and describe in numbers and
words how the data changes (e.g., it is 6 hotter
at the end of the day than at the beginning).
46Math
Strand
Data Analysis, Statistics, Probability
47Strand
Math
Data Analysis, Statistics, Probability
- Standard 11
- Fluency with Data
Pose questions collect, organize, and represent
data to answer those questions.
48Topic Data Collection and Representation
Pose questions, collect data using surveys, and
organize the data into tables and graphs.
49Topic Data Collection and Representation
Organize and represent data in more than one way
(e.g., tallies, chart, tables, bar graphs, line
plots, line graphs) describe what each display
tells about the data.
50Strand
Math
Data Analysis, Statistics, Probability
Interpret data using methods of exploratory data
analysis.
51Topic Data Interpretation
Interpret data (e.g., tallies, chart, tables, bar
graphs, line plots) and state what the
representation shows about the set of data.
52Strand
Math
Data Analysis, Statistics, Probability
- Standard 13
- Data Analysis
Develop and evaluate inferences, predictions,
and arguments that are based on data.
53Topic Predictions Inferences
Answer questions based on data represented in
graphs (e.g., look at a graph of all classmates
birth dates and determines which month has the
most birthdays).
54Strand
Math
Data Analysis, Statistics, Probability
Understand and apply basic notions of chance and
probability.
55Topic Probability
Make reasonable predictions concerning the
likelihood of an event occurring (e.g., certain,
likely, unlikely, impossible).