This is the year math shifts from adding and subtracting to thinking in groups. Students learn their multiplication and division facts up to 100 and use them to solve word problems. Fractions show up as real numbers, with halves, thirds, and fourths placed on a number line instead of just shaded in pictures. By spring, students can recall the times tables from memory and tell time to the nearest minute on a clock.
Students start the year by learning what multiplication actually means. They picture 5 groups of 7 cookies, draw rows and columns, and write the matching number sentence. Division shows up as the other side of the same idea.
Students build up the times tables and learn tricks like knowing 6 times 4 also tells you 4 times 6. By the end of this stretch, students should know their single-digit multiplication facts from memory.
Students add and subtract numbers up to 1,000 and learn to round to the nearest 10 or 100. Estimating answers becomes a habit, so students can check whether a result makes sense.
Students meet fractions like 1/2, 1/3, 1/4, 1/6, and 1/8 as real numbers, not just slices of pizza. They place fractions on a number line and compare which is bigger.
Students tell time to the minute, measure with rulers in halves and fourths of an inch, and weigh things in grams and kilograms. They also read and draw bar graphs to answer how many more and how many less.
Students sort shapes by their sides and corners and see how squares and rectangles fit inside the bigger family of quadrilaterals. They find the area of a rectangle by multiplying and measure perimeter by adding up the sides.
| Standard | Definition | Code |
|---|---|---|
| Understand that shapes in different categories | Shapes like squares and rectangles all have four sides, which makes them part of the same larger family called quadrilaterals. Students sort shapes into that family and sketch four-sided shapes that are not squares or rectangles. | CA-3.G.1 |
| Reason abstractly and quantitatively | Students divide shapes like squares and circles into equal parts and name each part as a fraction. A square cut into 4 equal pieces gives each piece the name "one fourth." | CA-3.G.2 |
| Construct viable arguments and critique the Generalize place value… | Students sort shapes by their attributes, such as the number of sides or whether angles are equal, and explain why a shape does or does not belong in a group. | CA-3.G.3 |
| Standard | Definition | Code |
|---|---|---|
| Tell and write time to the nearest minute and measure time intervals in minutes | Students read a clock to the nearest minute and figure out how much time has passed between two events. They solve problems like "how many minutes from 2:15 to 2:48?" using addition or subtraction. | CA-3.MD.1 |
| Measure and estimate liquid volumes and masses of objects using standard units… | Students measure how heavy objects are and how much liquid containers hold, using grams, kilograms, and liters. Then they solve a word problem using those measurements, adding, subtracting, multiplying, or dividing to find the answer. | CA-3.MD.2 |
| Draw a scaled picture graph and a scaled bar graph to represent a data set with… | Students read bar graphs where each block stands for more than one thing, such as 5 pets, then answer questions about the difference between two bars. They also draw their own picture graphs and bar graphs to show real data. | CA-3.MD.3 |
| Generate measurement data by measuring lengths using rulers marked with halves… | Students measure objects to the nearest half or quarter inch, then plot the results on a number line chart. Reading the chart shows how the measurements are spread out. | CA-3.MD.4 |
| Grade 3 expectations in this domain are limited to fractions with denominators… | Students learn that area is the space inside a flat shape, measured by counting square units that cover it without gaps or overlaps. This sets the foundation for measuring rooms, paper, and other flat surfaces. | CA-3.MD.5 |
| Excludes compound units such as cm3 and finding the geometric volume of a… | Students count the square units inside a shape to measure its area. They practice by tiling rectangles and counting how many same-size squares fit inside, with no gaps or overlaps. | CA-3.MD.6 |
| Excludes multiplicative comparison problems | Students read and make sense of charts and graphs showing real data, like tallies of favorite animals or how many books the class read each week. They answer questions about what the data shows. | CA-3.MD.7 |
| Solve real-world and mathematical problems involving perimeters of polygons… | Students add up side lengths to find the perimeter of a shape, figure out a missing side when the perimeter is known, and compare rectangles that share the same perimeter but cover different amounts of space. | CA-3.MD.8 |
| Standard | Definition | Code |
|---|---|---|
| Bill McCallum. 2011. Structuring the Mathematical Practices | Students round whole numbers to the nearest 10 or 100. For example, 347 rounds to 350 (nearest 10) or 300 (nearest 100). | CA-3.NBT.1 |
| Fluently add and subtract within 1000 using strategies and algorithms based on… | Students add and subtract numbers up to 1000 quickly and accurately. They use what they know about hundreds, tens, and ones to choose a strategy that works, not just one memorized method. | CA-3.NBT.2 |
| This standard is limited to problems posed with whole numbers and having… | Students multiply a one-digit number by a multiple of 10, like 6 times 70, and find the answer using what they know about place value. No parentheses or special grouping symbols are involved. | CA-3.NBT.3 |
| A range of algorithms may be used | This standard is incomplete or missing its full text. Based on NBT.4 for Grade 3, students add numbers up to 10,000 using place value strategies, working with thousands, hundreds, tens, and ones to find the total. | CA-3.NBT.4 |
| Interpret the parameters in a linear or exponential function in terms of a… | Students figure out what the numbers in a simple equation actually mean in a real situation, like recognizing that a starting value or a rate of change represents something specific in a word problem or graph. | CA-3.NBT.5 |
| Standard | Definition | Code |
|---|---|---|
| Understand a fraction 1/b as the quantity formed by 1 part when a whole is… | Students learn what a fraction means by splitting a shape or object into equal parts. The bottom number says how many equal pieces the whole is cut into, and the top number says how many of those pieces you're counting. | CA-3.NF.1 |
| Understand a fraction as a number on the number line | Students place fractions on a number line by splitting the space between 0 and 1 into equal parts and marking where a fraction like 1/4 or 3/4 lands. | CA-3.NF.2 |
| Standard | Definition | Code |
|---|---|---|
| Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number… | Students learn that multiplication is a faster way to count equal groups. If there are 5 bags with 7 apples each, 5 x 7 tells you the total without counting every apple. | CA-3.OA.1 |
| Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as… | Dividing means splitting a number into equal groups. Students figure out how many items go in each group, or how many groups there are, such as sharing 56 crayons equally among 8 kids. | CA-3.OA.2 |
| Use multiplication and division within 100 to solve word problems in situations… | Students solve everyday word problems using multiplication and division, working with equal groups or grids of objects. They draw pictures or write equations to find a missing number, staying within 100. | CA-3.OA.3 |
| Determine the unknown whole number in a multiplication or division equation… | Students figure out the missing number in a multiplication or division equation, like 8 x ? = 48 or 6 x 6 = ?. They also learn how multiplication and division work together as opposite operations. | CA-3.OA.4 |
| Apply properties of operations as strategies to multiply and divide.2 Examples | Students use shortcuts to multiply faster. If they know 6 x 4 = 24, they also know 4 x 6 = 24. They can also split a hard fact like 8 x 7 into easier pieces, such as 8 x 5 plus 8 x 2, and add the results. | CA-3.OA.5 |
| Understand division as an unknown-factor problem | Division is multiplication in reverse. Students solve 32 ÷ 8 by asking "what number times 8 equals 32?" rather than memorizing a separate set of rules. | CA-3.OA.6 |
| Fluently multiply and divide within 100, using strategies such as the… | Students practice multiplication and division facts up to 100 until the answers come from memory, not counting. By the end of third grade, they know all single-digit times tables cold. | CA-3.OA.7 |
| Solve two-step word problems using the four operations | A word problem that takes two separate math steps to solve, like figuring out how many apples are left after buying some and giving some away. Students write an equation using a letter for the missing number, then check whether their answer makes sense. | CA-3.OA.8 |
| Identify arithmetic patterns | Students spot repeating patterns in addition and multiplication charts, then explain in their own words why those patterns work. For example, they notice that multiplying by 4 always gives an even number and explain what makes that true. | CA-3.OA.9 |
The grade 3 math test in the CAASPP suite. Adaptive computer-based questions plus a performance task covering the Common Core grade 3 math standards.
The state test for students with the most significant cognitive disabilities. Replaces Smarter Balanced math in grades 3-8 and 11 for the small group of students whose IEP teams qualify them.
Students move from adding and subtracting into multiplication and division. By the end of the year, they should know their times tables up to 10 by 10 from memory and use them to solve word problems.
Practice a few facts at a time, not the whole table at once. Five minutes a day with flashcards, a quick quiz at dinner, or skip counting in the car works better than long weekend sessions. Mix in facts they already know so it feels like a win.
Students learn that a fraction is a real number, not just a piece of pizza. They should be able to point to one fourth or three fourths on a number line and explain that four fourths makes one whole. Cooking and cutting fruit are easy ways to talk about halves, thirds, and fourths at home.
Start with equal groups and arrays so students understand what multiplication means before they memorize anything. Build fact fluency through the properties, especially using known facts to find harder ones, such as 8 by 7 from 8 by 5 plus 8 by 2. Save two-step word problems for once single facts feel automatic.
Fractions on a number line and the difference between area and perimeter trip up the most students. Plan extra time for both, and revisit them in short bursts later in the year rather than teaching them once and moving on.
Ask them to draw the problem before they write any numbers. A quick sketch of groups, rows, or a bar usually shows whether they need to multiply or divide. Then have them say the problem back in their own words.
By June, students should multiply and divide within 100 from memory, add and subtract within 1000, solve two-step word problems, and place simple fractions on a number line. They should also tell time to the minute and find the area and perimeter of a rectangle.
Yes. Students are expected to add and subtract within 1000 fluently using place value strategies and the standard algorithm. Keep it in warm-ups and homework so it stays sharp while multiplication takes center stage.
Cooking covers fractions, shopping covers multiplication and money, and a kitchen clock covers time to the minute. Asking how many minutes until dinner or how much four packs of something will cost takes ten seconds and counts as real practice.