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Preparing for the CAASPP math test

The best preparation for the CAASPP math test is steady work on grade-level math through the year, plus a little practice with the online format and with explaining answers in words. The test, California's Smarter Balanced math assessment, is taken on a computer in grades 3 through 8 and grade 11, and free official practice tests show exactly what it looks like.

What the CAASPP math test is

CAASPP stands for the California Assessment of Student Performance and Progress. Its math and English language arts tests are the Smarter Balanced assessments, given each spring in grades 3 through 8 and grade 11. Science is tested separately on the California Science Test, called CAST, in grades 5 and 8 and once in high school.

The math test is taken on a computer and has two parts. The first is computer adaptive: the questions get somewhat harder or easier depending on how your child is doing, so two students may see different questions. The second is a performance task, a set of connected questions built around one real-world situation, where students solve several steps and explain their reasoning.

The test is based on the California Common Core State Standards for Mathematics for your child's grade, so it covers the same content as the class. In grade 11 it reflects the high school standards.

The score report groups math results into three broad areas:

What the questions look like

Many children are surprised that the test is not all multiple choice. Questions can ask your child to select more than one correct answer, type a number or an expression into a box, drag items into a table, plot points on a graph, or write a short explanation. In the upper grades, some questions include an on-screen calculator and some do not, so working without a calculator still matters.

Explanation questions are where many students lose points they could have earned. They often know the answer but write only a number, or write "because I did the math." A good explanation names the numbers, says what was done with them, and connects that to the question.

A worked example in the style of the test

This problem is written in the style of a grade 7 question about percents; it is not a real test item. A jacket costs $80.

It is on sale for 25% off, and then sales tax of 7.25% is added to the sale price. What does the jacket cost, and how do you know?

A common mistake is to subtract the percents first, 25% minus 7.25%, and take 17.75% off $80, which gives $65.80. That does not work because the tax is a percent of the sale price, not of the original price. Asking "7.25% of what?" is the kind of reasoning the explanation questions are looking for.

A strong written answer would be: the discount is 25% of $80, which is $20, so the sale price is $60. The tax is 7.25% of $60, which is $4.35.

The total is $60 plus $4.35, or $64.35. That answer makes sense because it is a little more than the $60 sale price and well below $80.

Problem$80 with 25% off, then 7.25% tax on the sale price

  1. 0.25×80=20

    Find the discount, which is 25% of the original price.

  2. 80−20=60

    Subtract the discount to get the sale price.

  3. 0.0725×60=4.35

    Find the tax, which is 7.25% of the sale price.

  4. 60+4.35=64.35

    Add the tax to the sale price to get the total.

  5. 80×0.75×1.0725=64.35

    Check with one expression: keeping 75% of the price and then adding 7.25% gives the same total.

Answer$64.35

How to prepare across the year

A last-minute cram does much less than steady habits. These help most when they happen through the year:

The week of the test

Reading the score report

Results come as a scale score and one of four achievement levels: Standard Exceeded, Standard Met, Standard Nearly Met, and Standard Not Met. The report also shows how your child did in the broad areas above, which can point to where to focus next. California's Starting Smarter website explains the reports and links to practice resources.

Treat the score as one snapshot alongside report cards, classwork, and what the teacher sees every day. If the results surprise you, ask the teacher what they notice and what to work on.

Questions

What grades take the CAASPP math test?

Students take the Smarter Balanced math test in grades 3 through 8 and in grade 11. Science is tested separately on the California Science Test.

Is it all multiple choice?

Only partly. It also includes questions where students type answers, select several options, fill in tables or graphs, and write short explanations, plus a performance task with several connected steps.

Can my child use a calculator on the test?

In grades 6 through 8 and 11, some questions provide an on-screen calculator and others do not. In grades 3 through 5 the test is designed to be taken without one, so it is worth practicing arithmetic by hand at every grade.

Where can we find official practice tests?

Free practice and training tests are on the official CAASPP website. They use the same online format and tools as the real test.

What do the four achievement levels mean?

There are four: Standard Exceeded, Standard Met, Standard Nearly Met, and Standard Not Met. They describe how your child's scale score compares with the grade-level expectations in the California standards.