What to Practice in Math This Summer: A California Common Core Checklist for Grades K–5

Summer is the longest break in the school year, and it arrives while math is still taking shape from kindergarten through Grade 5. Each new skill builds on the last, which means progress in September depends heavily on what stayed sharp over the summer.

As a math learning center based in California, we follow California Common Core standards, which define exactly what children need before each new grade begins. 

This checklist is organized around those standards, grade by grade, so you always know what to focus on and why it matters for what comes next.

Why Summer Is a Critical Window for Elementary Math

Summer is the longest stretch without structured math practice, and in the elementary years, that absence has real consequences. These are the years when children build the skills that carry them through every math class that follows: number sense, place value, multiplication fluency, and fraction knowledge.

Research by Atteberry and McEachin using NWEA data consistently shows that summer break takes a heavy toll on essential math skills, with students losing between 25% and 34% of their school-year progress on average.   

Foundational losses hit harder than most parents expect. Losing a grasp of fractions after Grade 4 means starting Grade 5 already behind on the exact concepts the next grade draws on first.

Fall pacing does not slow down for gaps. New material arrives before earlier learning has had time to settle, and that is precisely what targeted summer practice helps prevent.

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The Summer Math Checklist for Elementary Schoolers

The summer math checklist runs from kindergarten through grade 5. Since we are based in Irvine, California, we organized it around the skills California Common Core identifies as essential before moving to the next grade. Each section follows the same structure: 

• The list of skills your child should solidify by the end of that grade

• A simple way to practice at home over the summer

Start with your child's current grade, then read the one they are entering in September. That second section opens by explaining exactly which skills from the current grade it builds on most.

Use it as a reference point rather than a test. It shows where a little extra attention over the summer could make September's transition smoother.

Kindergarten Math

In kindergarten, your child builds the earliest math habits that every grade after depends on. Here are the skills to keep sharp over the summer: 

• Counting to 100 by ones and tens

• Recognizing and writing numbers 0 through 20

• Comparing groups using more, less, and equal

• Adding and subtracting within 10 using objects or drawings

Number recognition with everyday objects and simple addition with snacks or small toys both count as real practice. Keep sessions short and low-pressure. Five minutes at the kitchen table is enough at this age. 

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First Grade Math

Young learners use counting sequences and number recognition from kindergarten right away in Grade 1. Place value and addition fluency arrive early in the fall, and shaky number order makes that transition harder than it needs to be. Here is what to focus on over the summer: 

• Adding and subtracting within 20 with growing confidence

• Place value for two-digit numbers as tens and ones

• Comparing two-digit numbers using greater than, less than, and equal to

• Addition and subtraction facts within 20, with facts within 10 becoming automatic 

Tools like ten frames (visual grids that help kids “see” numbers) or a number line, which shows how numbers relate by position and distance, can reinforce fluency without feeling like a drill. Short daily sessions of five to ten minutes work better than occasional longer ones. 

Second Grade Math

Fact fluency from Grade 1 carries directly into Grade 2, where addition and subtraction with regrouping arrive early in the year. If your child is still counting on fingers for single-digit facts, they will find that transition significantly harder. 

In second grade, arithmetic solidifies, and the first seeds of multiplication are planted. Here is what to practice with your child: 

• Adding and subtracting within 100 fluently

• Grasping equal groups as the foundation of multiplication

• Reading a clock to the nearest five minutes

• Counting and comparing money amounts

• Working with basic measurements and bar graphs

Activities like skip counting, grouping household objects into equal sets, and simple repeated addition help build a solid foundation for multiplication. You can connect these ideas to everyday moments, so practice with your child feels relevant, rather than extra schoolwork. 

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Third Grade Math

The equal groups concept from Grade 2 is what Grade 3 builds multiplication and division on directly. In third grade, those operations move to the center of everything. Here is what to focus on with your child: 

• Multiplication and division facts within 100

• The relationship between multiplication and division

• Fractions as equal parts of a whole

• Placing fractions on a number line

• Two-step word problems using all four operations

Facts that feel automatic in third grade will free up your student’s mental space for the harder thinking those same problems require. 

Ten minutes of daily fact practice through flashcards, apps, or games is enough to maintain what was built during the year. Consistency matters more than duration at this stage. 

Fourth Grade Math

Multiplication fluency from Grade 3 is the foundation Grade 4 builds on most directly. Multi-digit multiplication and fraction equivalence both depend on those automatic skills, and in fourth grade specifically, they arrive quickly. Here is where to focus: 

• Multiplying multi-digit numbers with growing confidence 

• Dividing with remainders

• Generating equivalent fractions

• Adding and subtracting fractions with like denominators

• Decimal notation and comparison

Concrete representations like folded paper models, food portions, and visual diagrams help make fractions more intuitive for children. When they see how visual work connects to written notation, children get comfortable moving between the two, which is exactly what Grade 5 will ask of them. 

When we add fractions like \(\Large\frac{1}{4}\) and \(\Large\frac{3}{4}\), we are just putting the pieces of the puzzle back together. 

Fifth Grade Math

Fraction work from Grade 4 is one of the best indicators of how your child will handle what comes next. In fifth grade, fractions extend significantly into multiplication and division. 

For our neighbors in Irvine, schools in the Irvine Unified School District move through this content quickly, making the summer after fifth grade the most consequential window in the elementary years. 

Here is what to pay attention to: 

• Multiplying and dividing fractions

• Adding and subtracting decimals fluently

• Place value through thousandths

• Calculating the volume of rectangular prisms

• Graphing points on a coordinate plane

IUSD middle school math begins with a rigorous Grade 6 sequence that assumes full command of Grade 5 fraction and decimal skills. The proportional thinking and pre-algebra concepts that define middle school are built directly on this foundation. 

Fluency with fractions and comfort with decimals help children keep pace from the first week of Grade 6. 

We use the same skills Grade 6 builds on when we work out a discount or measure ingredients for a recipe. When practice is framed around real decisions, the math feels purposeful rather than like review. 

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At Mathnasium, specially trained tutors build on what your child already knows and fill the gaps before the next grade begins.

How Mathnasium Helps Students Stay Sharp During Summer

Mathnasium is a math-only learning center empowering students of all skill levels to excel in math.

Whether the goal is keeping skills sharp over summer or closing gaps that built up during the school year, most of our centers offer regular sessions throughout summer, with select locations offering dedicated summer programs. 

Whichever program fits your family, it is powered by the Mathnasium Method™, our proprietary teaching approach designed to unlock each student's math potential.

Everything begins with a diagnostic assessment, a relaxed interaction designed to uncover your student's strengths, knowledge gaps, and how they think about math. With those insights, we build a personalized learning plan tailored to their needs and goals.

Our specially trained tutors follow that plan closely, delivering face-to-face math instruction in a warm and dynamic setting. 

We use natural language to explain concepts and draw on a mix of verbal, visual, mental, tactile, and written techniques so students can truly make sense of the math they are learning.

During sessions, we give students room to struggle productively before stepping in to check their reasoning. The goal is for them to learn to trust their own thinking over time. When we do step in, we always show both the how and the why behind the answer, building the critical thinking tools students carry into math and beyond.

Fun is embedded in the approach, too. Sessions are often game-based and hands-on, keeping students engaged and enjoying the process. We celebrate every bit of progress, big or small, and that consistent encouragement grows confidence with each session.

The results speak for themselves:

• 94% of parents report improvement in their child's math skills and understanding

• 93% of parents report an improved attitude toward math after attending Mathnasium

• 90% of students saw improvement in their school grades

With over 1,100 learning centers across North America, there is likely a Mathnasium close to you.

Families across Irvine trust Mathnasium of University Irvine, a center with years of experience building confident math thinkers in University Park, Turtle Rock, Alderwood, Bonita Canyon, and the surrounding communities.

If the checklist reveals a grade where your child's skills feel shaky, our team is ready to help before September arrives.

📅 Schedule a Free Assessment at Mathnasium of University Irvine