免费 · 可打印 · 无邮箱门槛
免费数学练习纸，把在线任务保存成 PDF。
选择年级和主题，打开学习指南，然后用浏览器打印或保存为 PDF。练习纸和线上任务共享同一套 Common Core 课程结构。
练习纸目录
按年级打印 Common Core 主题练习。
1年级
打开手册 位值 1.NBT.B.2 Learn the logic of tens and ones with Base-10 blocks. Aligned with CCSS 1.NBT.B.2. 减法 1.OA.A.1 Learn subtraction through take-away and comparison scenarios. Aligned with CCSS 1.OA.A.1. 分数 1.G.A.3 Introduce fractions through fair-sharing of circles and rectangles into halves and quarters. Aligned with CCSS 1.G.A.3. 加法 1.OA.A.1 Master Grade 1 addition with Ten-Frame models and Socratic questioning. Aligned with CCSS 1.OA.A.1. 十几数 1.NBT.B.2 See teen numbers as 1 ten plus extra ones — the secret structure of 11 through 19. Aligned with CCSS 1.NBT.B.2. 图形 1.G.A.2 Identify 2D shapes by attributes and compose new shapes from triangles, squares, and hexagons. Aligned with CCSS 1.G.A.1 / 1.G.A.2. 图形属性 1.G.A.1 Learn what really defines a shape — sides and vertices, not color or size. Aligned with CCSS 1.G.A.1. 大小比较 1.NBT.B.3 Teach your child to compare numbers using the balance scale model and Socratic logic. Aligned with CCSS 1.NBT.B.3. 整十加法 1.NBT.C.4 Master adding ten-bundles to ten-bundles within 100. Aligned with CCSS 1.NBT.C.4. 测量 1.MD.A.1 Compare and order objects by length with the "line-up-the-ends" rule. Aligned with CCSS 1.MD.A.1. 逆运算 1.OA.B.4 Discover that addition and subtraction are inverse operations through fact families. Aligned with CCSS 1.OA.B.4. 间接比较长度 1.MD.A.1 Use a third object to compare two lengths that cannot be placed side-by-side. Aligned with CCSS 1.MD.A.1.
2年级
打开手册 二维与三维图形 2.G.A.1 Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilate… 位值 2.NBT.A.1 Build three-digit numbers from hundreds, tens, and ones using Base-10 blocks. Aligned with CCSS 2.NBT.A.1. 减法 2.NBT.B.5 Learn two-digit subtraction with regrouping as a trade, not a trick. Aligned with CCSS 2.NBT.B.5. 加法 2.NBT.B.5 Master two-digit addition with regrouping using Base-10 blocks and Socratic prompts. Aligned with CCSS 2.NBT.B.5. 数轴跳跃 2.MD.B.6 Represent whole numbers as lengths from 0 on a number line; represent whole-number sums and differences within 100 on a number-line diagram. Aligned with CCSS 2.MD.B.6. 条形图 2.MD.D.10 Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart,… 测量 2.MD.A.1 Learn to measure with real units using rulers and standard tools. Aligned with CCSS 2.MD.A.1. 百以内加减 2.NBT.B.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtract… 认读时间 2.MD.C.7 Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. Aligned with CCSS 2.MD.C.7. 货币 2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Aligned with CCSS 2.MD.C.8. 跳数 2.NBT.A.2 Count within 1000; skip-count by 5s, 10s, and 100s, recognizing the additive pattern at each step. Aligned with CCSS 2.NBT.A.2. 进位退位 2.NBT.B.7 Add and subtract within 1000 using concrete models or drawings and strategies based on place value; relate the strategy to a written method. Aligned with CCSS 2.NBT.B.7. 长度差 2.MD.B.5 Use addition and subtraction within 100 to solve word problems involving lengths given in the same units. Aligned with CCSS 2.MD.B.5. 阵列 2.OA.C.4 Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write equations expressing the to…
3年级
打开手册 两步应用题 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. Aligned with CCSS 3.OA.D.8. 乘法 3.OA.A.1 Master multiplication with visual models. Aligned with CCSS 3.OA.A.1. 乘法熟练度 3.OA.C.7 Fluently multiply and divide within 100 by recall of derived facts and patterns in the times table. Aligned with CCSS 3.OA.C.7. 估算与四舍五入 3.NBT.A.1 Use place-value understanding to round whole numbers to the nearest 10 or 100. Aligned with CCSS 3.NBT.A.1. 分数 3.NF.A.1 Understanding parts of a whole. Aligned with CCSS 3.NF.A.1. 分数数轴 3.NF.A.2 Understand a fraction a/b as a number on the number line by partitioning [0, 1] into b equal parts and locating a copies of 1/b. Aligned with CCSS 3.NF.A.2. 周长 3.MD.D.8 Measure the distance around polygons. Aligned with CCSS 3.MD.D.8. 四边形 3.G.A.1 Understand that shapes in different categories may share attributes, and that the shared attributes can define a larger category. Aligned with CCSS 3.G.A.1. 条形图 3.MD.B.3 Draw a scaled bar graph to represent a data set; solve one- and two-step problems using information presented in bar graphs. Aligned with CCSS 3.MD.B.3. 等值分数 3.NF.A.3.b Recognize and generate simple equivalent fractions; explain why they are equivalent using a visual fraction model. Aligned with CCSS 3.NF.A.3.b. 质量与容量 3.MD.A.2 Measure and estimate liquid volumes and masses of objects using standard units (g, kg, mL, L). Add, subtract, multiply, or divide to solve one-step prob… 运算性质 3.OA.B.5 Apply properties of operations as strategies to multiply and divide. Commutative, associative, and distributive properties. Aligned with CCSS 3.OA.B.5. 逆运算 3.OA.B.6 Understand division as an unknown-factor problem: c ÷ a is the unknown b such that a × b = c. Aligned with CCSS 3.OA.B.6. 除法 3.OA.A.2 Learn fair sharing logic. Aligned with CCSS 3.OA.A.2. 面积 3.MD.C.5 Learn tiling and surface logic. Aligned with CCSS 3.MD.C.5.
4年级
打开手册 symmetry 4.G.A.3 Recognize a line of symmetry for a two-dimensional figure as a line such that the figure folded along it has matching halves; identify line-symmetric fi… 几何 4.G.A.1 Identify parallel, perpendicular lines, and symmetry. Aligned with CCSS 4.G.A.1. 分数乘法 4.NF.B.4 Understand fraction × whole as repeated copies of a unit fraction. Aligned with CCSS 4.NF.B.4. 分数加法 4.NF.B.3 Add and subtract fractions with the same denominator, plus mixed numbers. Aligned with CCSS 4.NF.B.3. 单位换算 4.MD.A.1 Convert km↔m, m↔cm, kg↔g, hr↔min using place-value-style multipliers. Aligned with CCSS 4.MD.A.1. 因数 4.OA.B.4 Find every factor pair using the rectangle test. Aligned with CCSS 4.OA.B.4. 多位数乘法 4.NBT.B.5 Master 2-digit × 2-digit multiplication using area model and standard algorithm. Aligned with CCSS 4.NBT.B.5. 小数 4.NF.C.6 Translate fractions with denominators 10 and 100 to decimals. Aligned with CCSS 4.NF.C.6. 比较分数 4.NF.A.2 Compare fractions with different numerators and denominators using benchmark and common-denominator strategies. Aligned with CCSS 4.NF.A.2. 角 4.MD.C.6 Read a protractor, measure angles in degrees. Aligned with CCSS 4.MD.C.6. 角度和 4.MD.C.7 Find unknown angles using the part-whole relationship of angle measure. Aligned with CCSS 4.MD.C.7. 质数 4.OA.B.4 Use the rectangle test to spot prime numbers instantly. Aligned with CCSS 4.OA.B.4. 长除法 4.NBT.B.6 Learn the place-value logic of long division and how to handle remainders. Aligned with CCSS 4.NBT.B.6.
5年级
打开手册 体积 5.MD.C.5 Find volume by counting unit cubes or using V = l × w × h. Aligned with CCSS 5.MD.C.5. 分数乘除 5.NF.B.4 Multiply fraction × fraction and divide unit fractions. Aligned with CCSS 5.NF.B.4. 单位换算 5.MD.A.1 Convert across units in multi-step problems. Aligned with CCSS 5.MD.A.1. 图形层级 5.G.B.4 Classify shapes by properties using a hierarchy. Aligned with CCSS 5.G.B.4. 坐标 5.G.A.1 Plot ordered pairs (x, y) in the first quadrant. Aligned with CCSS 5.G.A.1. 多位数除法 5.NBT.B.6 Divide 4-digit dividends by 2-digit divisors using place-value strategies. Aligned with CCSS 5.NBT.B.6. 小数运算 5.NBT.B.7 Add, subtract, multiply, divide decimals using place-value models. Aligned with CCSS 5.NBT.B.7. 异分母分数 5.NF.A.1 Add and subtract fractions with different denominators using equivalent forms. Aligned with CCSS 5.NF.A.1. 线图 5.MD.B.2 Create and analyze line plots with fractional data. Aligned with CCSS 5.MD.B.2. 规律 5.OA.B.3 Generate paired patterns and find rules. Aligned with CCSS 5.OA.B.3. 运算顺序 5.OA.A.1 Evaluate numeric expressions with parentheses using PEMDAS. Aligned with CCSS 5.OA.A.1. 进阶小数 5.NBT.A.3 Read, write, and compare decimals to the thousandths place. Aligned with CCSS 5.NBT.A.3.
6年级
打开手册 最大公因数与最小公倍数 6.NS.B.4 Find greatest common factor and least common multiple. Aligned with CCSS 6.NS.B.4. 单位率 6.RP.A.2 Find and use unit rates from given ratios. Aligned with CCSS 6.RP.A.2. 变量 6.EE.B.6 Use variables to represent unknowns. Aligned with CCSS 6.EE.B.6. 四象限 6.NS.C.6.B Plot points in all four quadrants. Aligned with CCSS 6.NS.C.6.B. 圆面积 7.G.B.4 Derive and use the circle area formula with radius, diameter, and pi. Aligned with CCSS 7.G.B.4. 小数除法 6.NS.B.3 Divide by decimals using the shift technique. Aligned with CCSS 6.NS.B.3. 方程 6.EE.B.7 Solve x + p = q and px = q. Aligned with CCSS 6.EE.B.7. 比 6.RP.A.1 Understand ratios as multiplicative comparisons. Aligned with CCSS 6.RP.A.1. 百分数 6.RP.A.3.C Understand and compute percentages as ratios per 100. Aligned with CCSS 6.RP.A.3.C. 统计 6.SP.B.5 Compute mean, median, mode, and range of data sets. Aligned with CCSS 6.SP.B.5. 表达式 6.EE.A.2 Write and evaluate expressions with variables. Aligned with CCSS 6.EE.A.2. 表面积 6.G.A.4 Find surface area using nets. Aligned with CCSS 6.G.A.4. 负数 6.NS.C.5 Understand and place negative numbers on a number line. Aligned with CCSS 6.NS.C.5.