Math 1

A full year of 1st-grade math: counting and place value to 120, adding and subtracting within 20 with real strategies and every kind of story problem, and adding within 100 with tens and ones. It also covers measuring length, telling time, coins, graphs, shapes, and halves and fourths.

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180 lessons

One a day for a school year

9 units

Each opens to its lessons

A family survey project

Plan, ask, tally, graph and report

Standards

Common Core Grade 1 math

What's taught, unit by unit

1
Adding and subtracting within 10Days 1–28
After a short starting check, your child counts forward and back from any number to 20, then adds by putting groups together, counting on, switching the order, using number bonds, pairs that make 10 and doubles, and adding three numbers. Next comes subtraction: taking away, crossing out, counting back, finding how many more, and finding a missing part. The unit ends with fact families, add, take-away and compare stories, and quick fact games.
- 1 · Welcome to Math 1 and a starting check
- 2 · Counting to 20, forward and back, from any number
- 3 · Adding means putting together: within 5
- 4 · Counting on to add
- 5 · Adding in any order
- 6 · Ways to make a number: number bonds
- 7 · Practice: making 10 and the pairs that make 5, 6 and 7
- 8 · Doubles facts to 5 + 5
- 9 · Adding within 10
- 10 · Practice: adding within 10
- 11 · Addition stories within 10
- 12 · Adding three numbers
- 13 · Zero in addition and subtraction
- 14 · Taking away: subtraction within 5
- 15 · Subtracting with pictures and drawings
- 16 · Practice: counting on and counting back to solve facts
- 17 · Subtracting by counting back on a number line
- 18 · Subtracting within 10
- 19 · Practice: subtracting within 10
- 20 · Take-away stories within 10
- 21 · Subtraction as finding the difference: how many more?
- 22 · Subtraction as a missing addend
- 23 · Fact families within 10
- 24 · Practice: mixing adding and subtracting within 10
- 25 · Practice: word problems within 10
- 26 · Fact fluency within 10
- 27 · Unit 1 review
- 28 · Unit 1 assessment
2
Tens and ones, and counting to 120Days 29–51
Your child learns teen numbers as a ten and some ones, then counts to 100 and on to 120, and reads and writes those numbers. They build two-digit numbers from bundles of ten and loose ones and learn their way around the hundred chart. The unit also covers 10 more and 10 less, skip counting by 2s, 5s and 10s, and comparing and ordering numbers with >, < and =.
- 29 · Teen numbers: a ten and some ones
- 30 · Practice: teen numbers with ten-frames, 10 + 3 = 13
- 31 · One more and one less
- 32 · Counting to 100
- 33 · Tens and ones to 100
- 34 · Counting by tens: 10, 20, ... 90 mean 1 ten, 2 tens, ... 9 tens
- 35 · Place value: reading a two-digit number as tens and ones
- 36 · Practice: building two-digit numbers with tens and ones
- 37 · Counting to 120
- 38 · Reading and writing numbers to 120
- 39 · Practice: counting and writing numbers to 120
- 40 · The hundred chart and its patterns
- 41 · Practice: finding missing numbers on the hundred chart
- 42 · 10 more and 10 less
- 43 · Practice: 10 more and 10 less in your head
- 44 · Skip counting by 2s, 5s and 10s
- 45 · Number patterns when we skip count
- 46 · Comparing numbers: greater than, less than, equal to
- 47 · Comparing two-digit numbers
- 48 · Ordering numbers
- 49 · Practice: comparing and ordering numbers to 100
- 50 · Unit 2 review
- 51 · Unit 2 assessment
3
Adding and subtracting within 20Days 52–72
Your child counts on from teen numbers, adds ten plus ones, makes a ten, and uses big doubles and near doubles, then learns to choose a strategy. They subtract from teen numbers by counting back, getting to 10 first and thinking addition. Then come fact families, fact triangles, missing addends, adding three numbers and daily fact practice.
- 52 · Adding within 20 with teen numbers and counting on
- 53 · Ten plus ones: adding to 10 to make 11-19
- 54 · Making a ten to add
- 55 · Practice: making a ten
- 56 · Doubles facts to 10 + 10
- 57 · Near doubles
- 58 · Practice: choosing a strategy to add within 20
- 59 · Subtracting within 20
- 60 · Subtracting by taking from a ten
- 61 · Subtracting by thinking addition
- 62 · Practice: subtracting within 20
- 63 · Fact families within 20
- 64 · Practice: related facts and fact triangles
- 65 · Practice: unknown addends within 20
- 66 · Adding three numbers within 20
- 67 · Fact fluency: addition to 20
- 68 · Fact fluency: subtraction to 20
- 69 · Mixed fact fluency
- 70 · Mental math strategies within 20
- 71 · Unit 3 review
- 72 · Unit 3 assessment
4
The equal sign and story problemsDays 73–90
Your child learns that the equal sign means "the same amount as." They read equations written both ways, judge equations true or false and find a missing number in any spot. Then they solve every kind of story within 20: things joining or leaving with the start, change or end unknown, two parts and a whole, how many more or fewer, and three-number stories, each drawn and written as an equation.
- 73 · What the equal sign means
- 74 · Practice: both sides balance (8 = 5 + 3, 4 + 4 = 3 + 5)
- 75 · True or false equations
- 76 · Finding the missing number
- 77 · Practice: the unknown in any position
- 78 · Add-to and take-from stories: result unknown, within 20
- 79 · Add-to stories: change unknown
- 80 · Take-from and add-to stories: start unknown
- 81 · Put-together stories: total unknown
- 82 · Take-apart stories: both parts unknown
- 83 · Compare stories: how many more or fewer?
- 84 · Compare stories: the bigger or smaller amount unknown
- 85 · Stories with three numbers
- 86 · Choosing: add or subtract?
- 87 · Drawing a picture and writing an equation for a story
- 88 · Practice: mixed word problems within 20
- 89 · Unit 4 review
- 90 · Unit 4 assessment
5
Adding and subtracting with tensDays 91–110
Your child adds and subtracts whole tens, adds tens or a few ones to a two-digit number, and makes a new ten, as in 28 + 5. They always use ten rods, quick drawings, the hundred chart or a number line. The unit also covers taking tens from tens by thinking addition, finding 10 less, story problems with bigger numbers, and comparing sums and differences.
- 91 · Adding tens: 30 + 20
- 92 · Subtracting tens: 70 - 40
- 93 · Practice: adding and subtracting multiples of ten
- 94 · Adding a multiple of ten to a two-digit number
- 95 · Adding a one-digit number to a two-digit number
- 96 · Adding within 100 with models and drawings
- 97 · Practice: adding on the hundred chart and number line
- 98 · Composing a ten: 28 + 5
- 99 · Practice: composing a ten
- 100 · Mixed addition practice within 100
- 101 · Practice: adding a two-digit and a one-digit number
- 102 · Subtracting tens from tens: 70 - 40, as an unknown addend
- 103 · Ten less than any two-digit number
- 104 · Practice: subtracting tens and finding ten less
- 105 · Word problems: adding within 100
- 106 · Word problems: subtracting tens within 100
- 107 · Word problems: tens and composing a ten
- 108 · Comparing sums and differences
- 109 · Unit 5 review
- 110 · Unit 5 assessment
6
Length, time, calendar and coinsDays 111–130
Your child compares and orders lengths, using a string to compare things that can't sit side by side. They measure with paper clips and cubes laid end to end, then compare measurements and solve length stories. They also tell time to the hour and half hour on clocks with hands and digital clocks, read a calendar, and learn the penny, nickel, dime and quarter, trading coins and counting nickels or dimes.
- 111 · Comparing lengths
- 112 · Ordering three objects by length
- 113 · Comparing lengths with a third object
- 114 · Measuring with nonstandard units
- 115 · Length as a number: units end to end with no gaps
- 116 · Measuring the same object with different units
- 117 · Comparing measurements
- 118 · Measurement stories
- 119 · Practice: measuring and comparing objects around the house
- 120 · Telling time: o'clock
- 121 · Telling time: half past the hour
- 122 · Practice: hour and half hour
- 123 · Practice: reading and drawing clock times
- 124 · Clocks and daily activities
- 125 · The calendar: days, weeks and months
- 126 · Coins: names and values
- 127 · Trading coins: pennies, nickels and dimes
- 128 · Counting nickels and dimes
- 129 · Unit 6 review
- 130 · Unit 6 assessment
7
Sorting and graphsDays 131–143
Your child sorts and counts, uses tally marks, and makes picture graphs and simple bar graphs with three groups. They answer how many, how many in all, and how many more. The unit ends with a family survey project: plan a question, collect tallies, make a graph and tell what it shows.
- 131 · Sorting and counting objects
- 132 · Tally marks
- 133 · Picture graphs
- 134 · Simple bar graphs
- 135 · Asking and answering questions about data
- 136 · Practice: reading data from a table, tally chart and graph
- 137 · Practice: make a graph from a story
- 138 · Data project: planning a survey
- 139 · Data project: collecting data
- 140 · Data project: making the graph
- 141 · Data project: what the graph tells us
- 142 · Unit 7 review
- 143 · Unit 7 assessment
8
Shapes and equal sharesDays 144–166
Your child names flat shapes by their sides and corners, learns what does and doesn't change a shape's name, and draws, builds and sorts shapes and solves shape riddles. Next come solid shapes (cube, sphere, cone, cylinder and box shape) and how they roll or stack, and putting shapes together and taking them apart. The unit ends with cutting circles and rectangles into halves and fourths and seeing that more shares means smaller shares.
- 144 · 2D shapes: circles, squares and triangles
- 145 · 2D shapes: rectangles, hexagons and trapezoids
- 146 · Sides and corners
- 147 · Defining and non-defining attributes
- 148 · Drawing and building shapes with given attributes
- 149 · Sorting shapes by attributes
- 150 · Practice: shape riddles
- 151 · 3D shapes: cubes and spheres
- 152 · 3D shapes: cones and cylinders
- 153 · Rectangular prisms and describing 3D shapes
- 154 · Composing 2D shapes
- 155 · Decomposing 2D shapes
- 156 · Composing 3D shapes
- 157 · Practice: shape puzzles and pattern-block designs
- 158 · Practice: sorting and building 3D shapes
- 159 · Equal shares
- 160 · Halves
- 161 · Fourths (quarters)
- 162 · Comparing halves and fourths
- 163 · Halves and fourths of circles and rectangles
- 164 · Practice: partitioning shapes into halves and fourths
- 165 · Unit 8 review
- 166 · Unit 8 assessment
9
Putting the year togetherDays 167–180
Your child uses a read, draw, solve, check routine for every kind of story problem, solves story problems with bigger numbers, and plays place-value and fact games and number riddles. Then come reviews of the whole year, a math hunt around the house, two year-end checks and a look ahead to 2nd grade.
- 167 · A problem-solving routine: read, draw, write an equation, check
- 168 · Year review: every kind of word problem within 20
- 169 · Practice: mixed word problems within 100
- 170 · Practice: place value games to 100
- 171 · Fact games with dice and cards
- 172 · Math puzzles: missing numbers and number riddles
- 173 · Cumulative review: addition and subtraction facts
- 174 · Cumulative review: two-digit addition and subtraction
- 175 · Cumulative review: shapes, measurement, time and coins
- 176 · Cumulative review: data, halves and fourths, and place value
- 177 · Math around the house project
- 178 · Year-end assessment A: numbers and operations
- 179 · Year-end assessment B: shapes, measurement, time and data
- 180 · Looking back and looking ahead

By the end of the year, your child can

Count to 120 from any number and read and write numbers to 120
Explain two-digit numbers as tens and ones, find 10 more or 10 less, and compare numbers with >, < and =
Add and subtract within 20 using strategies like making a ten, doubles and thinking addition, and know the facts within 10 quickly
Solve every kind of story problem within 20 with a drawing and an equation, finding the missing number wherever it is
Add a one-digit number or a multiple of ten to a two-digit number, making a new ten when needed, and subtract tens from tens
Compare and measure lengths with same-size units, tell time to the hour and half hour, and name the coins and their values
Sort data into a tally chart or graph with three groups and answer questions about it
Name flat and solid shapes by their sides, corners and faces, build new shapes from them, and cut circles and rectangles into halves and fourths

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Other 1st Grade subjects: Reading 1 · Writing 1 · Science 1 · History 1