2nd grade Math
18 units matched to the New York State Learning Standards.
Focus areas
- Number and operations: adding and subtracting within 1000, place value, and odd and even numbers
- Measurement, data and geometry: measuring in inches and centimetres, time to five minutes, coins to one dollar, and halves, thirds and fourths
- Mathematical practices: making sense of problems and explaining reasoning
Units
Unit 1
Bigger or Smaller
Comparing and ordering numbers, using <, > and =, and noticing numbers close to 50.
Learning standard: NY-2.NBT.4 · comparing three-digit numbers using >, = and <
Unit 2
Facts to 20
Fluent facts to 20 using strategies like making ten and thinking addition to subtract.
Learning standard: NY-2.OA.2 · fluently adding and subtracting within 20 with mental strategies
Unit 3
Adding to 100
Two-digit adding and subtracting by working with tens and ones, including making a new ten.
Learning standard: NY-2.NBT.5; NY-2.OA.1a · adding and subtracting within 100 using place value, including word problems
Unit 4
Measuring
Measuring with a ruler from zero and choosing between centimeters and meters.
Learning standard: NY-2.MD.1; NY-2.MD.3 · measuring and estimating lengths in centimeters and meters
Unit 5
Shapes
Describing shapes by their sides, corners (vertices) and faces, and spotting 3D shapes in real life.
Learning standard: NY-2.G.1 · naming polygons by their sides and telling polygons from shapes that are not polygons
Unit 6
Graphs
Reading picture graphs: how many, which has the most or fewest, and how many more.
Learning standard: NY-2.MD.10 · reading picture graphs and bar graphs with a single-unit scale
Unit 7
Numbers to 1000
Reading and building numbers up to 1000 with hundreds, tens and ones, counting forwards and backwards by 10s and 100s, even and odd numbers, estimating with 100s as benchmarks, and comparing with <, > and =.
Learning standard: NY-2.NBT.1; NY-2.NBT.2; NY-2.NBT.3; NY-2.NBT.4 · counting, reading, writing and comparing numbers to 1000 with hundreds, tens and ones
Unit 8
Fractions of a Whole
A fraction names equal parts of one whole. Children read unit fractions such as 1/4 and 1/8, learn that more equal parts means smaller parts, and name fractions like 3/4 from a picture. All wholes are cut into 10 or fewer equal parts.
Learning standard: NY-2.G.3 · splitting circles and rectangles into halves, thirds and fourths
Unit 9
Skip Counting
Skip counting by 2s, 5s and 10s forward and backward from 0 to 100, using a hundred chart or number line.
Learning standard: NY-2.NBT.2 · skip-counting by 5s, 10s and 100s
Unit 10
Even, Odd and Ordinals
Deciding whether a number up to 100 is even or odd by making pairs, and using ordinal numbers for position.
Learning standard: NY-2.OA.3a · deciding whether a group of objects has an odd or even number of members
Unit 11
Dollars & Cents
US money: pennies, nickels, dimes, quarters and dollar bills. Counting a handful of coins, making an amount, and word problems with the ¢ and $ signs.
Learning standard: NY-2.MD.8 · counting a mix of coins and solving money problems with quarters, dimes, nickels and pennies, using the ¢ symbol
Unit 12
Five-Minute Clock
Reading clocks to the nearest five minutes, quarter past and quarter to, and knowing when a time is a.m. or p.m.
Learning standard: NY-2.MD.7 · telling and writing time to the nearest five minutes, using a.m. and p.m., quarter past and quarter to
Unit 13
Inches, Feet & Yards
Measuring and estimating length in inches, feet and yards (and centimeters and meters), and finding how much longer one thing is than another.
Learning standard: NY-2.MD.1; NY-2.MD.3; NY-2.MD.4; NY-2.MD.5 · measuring and estimating lengths in inches, feet, centimeters and meters, and solving length problems
Unit 14
Arrays
Adding equal rows to find the total in an array (up to 5 by 5), and cutting a rectangle into rows and columns of squares. This gets ready for multiplication.
Learning standard: NY-2.OA.4; NY-2.G.2 · adding to find the total in rectangular arrays, and splitting a rectangle into rows and columns of squares
Unit 15
Add & Subtract to 1000
Adding and subtracting three-digit numbers using place value, and adding or taking away 10 or 100 in their head.
Learning standard: NY-2.NBT.7; NY-2.NBT.8 · adding and subtracting within 1000 using place value, and mentally adding or subtracting 10 or 100
Unit 16
Bar Graphs
Reading bar graphs with four groups: how many more, how many fewer, how many in all, and which question a class survey can answer.
Learning standard: NY-2.MD.10 · drawing and reading picture graphs and bar graphs to solve put-together, take-apart and compare problems
Unit 17
Add Up to Four Numbers
Adding three or four two-digit numbers by adding tens and ones and looking for numbers that make a ten, explaining in words why these strategies work, solving two-step word problems within 100, and writing an even number as a double (8 = 4 + 4).
Learning standard: NY-2.NBT.6; NY-2.NBT.9; NY-2.OA.1b; NY-2.OA.3b · adding up to four two-digit numbers using place value, explaining why addition and subtraction strategies work, solving two-step word problems within 100, and writing an even number as a sum of two equal addends
Unit 18
Lengths & Line Plots
Measuring the same thing with two units and seeing that a smaller unit takes more of them, showing sums and differences as jumps on a number line, and reading line plots of measured lengths.
Learning standard: NY-2.MD.2; NY-2.MD.6; NY-2.MD.9 · measuring with two different units, showing sums and differences on a number line, and showing measurements in a line plot
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