California Alternate Assessments Blueprint for Mathematics

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California Alternate Assessments

Blueprint for Mathematics

Table of Contents

California Alternate Assessments 1

Blueprint for Mathematics 1

Table of Contents 2

Grade Three 4

Grade Four 6

Grade Five 9

Grade Six 13

Grade Seven 17

Grade Eight 19

Grade Eleven 22

Acronyms and Initialisms Used in the California Alternate Assessments Blueprint


California Alternate Assessment


Educational Testing Service


National Center and State Collaborative

Grade Three

Note: Each test will contain from 25 to 27 operational items.


NCSC Percentage

CAA Percentage

Common Core State Standard

Core Content Connector

Essential Understanding

Operations & Algebraic Thinking



3.OA.A.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.

3.NO.2d3 Solve multiplication problems with neither number greater than 5.

Create an array of sets (e.g., 3 rows of 2).

Operations & Algebraic Thinking

3.OA.D.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

3.NO.2e1 Solve or solve and check one or two-step word problems requiring addition, subtraction or multiplication with answers up to 100.

Combine (+), decompose (-), and multiply (x) with concrete objects; use counting to get the answers. Match the action of combining with vocabulary (i.e., in all; altogether) or the action of decomposing with vocabulary (i.e., have left; take away) in a word problem.

Operations & Algebraic Thinking

3.OA.D.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

3.PRF.2d1 Identify multiplication patterns in a real world setting.

Concrete understanding of a pattern as a set that repeats regularly or grows according to a rule; Ability to identify a pattern that grows (able to show a pattern) (shapes, symbols, objects).

Number & Operations in Base Ten



3.NBT.A.1 Use place value understanding to round whole numbers to the nearest 10 or 100.

3.NO.1j3 Use place value to round to the nearest 10 or 100.

Identify ones or tens in bundled sets – Similar/different with concrete representations (i.e., is this set of manipulatives (8 ones) closer to this set (a ten) or this set (a one)?).

Number & Operations in Base Ten

3.NBT.A.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

3.NO.2c1 Solve multi-step addition and subtraction problems up to 100.

Combine (+) or decompose (-) with concrete objects; use counting to get the answers.

Number & Operations—


3.NF.A.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

3.NO.1l3 Identify the fraction that matches the representation (rectangles and circles; halves, fourths, and thirds, eighths).

Identify part and whole when item is divided. Count the number of the parts selected (3 of the 4 parts; have fraction present but not required to read ¾).

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