Common Core and NGSS tags
Ryzo’s map of 160 ideas in math, reading, writing and science, with the Common Core or NGSS standards each one is tagged to.
A tag marks a standard the idea mainly teaches and tests. It is not a claim of full alignment, and no outside review has checked the tags.
Learners pick a depth: Foundation (the grade's work), Advanced (harder problems on the same ideas) or ACE (the hardest). All three cover math, reading, writing and science from Kindergarten to grade 8.
Math (Common Core): 43 ideas
| Idea | Grades | Standards |
|---|---|---|
| Counting and how many | Pre-K to K | K.CC.B.4 K.CC.B.5 |
| Place value | 1 to 4 | 1.NBT.B.2 2.NBT.A.1 4.NBT.A.1 |
| Adding and subtracting | K to 3 | K.OA.A.2 1.OA.C.6 2.NBT.B.5 3.NBT.A.2 |
| Multiplication as groups | 2 to 4 | 2.OA.C.4 3.OA.A.1 3.OA.C.7 |
| Division and sharing | 3 to 5 | 3.OA.A.2 3.OA.B.6 4.NBT.B.6 5.NBT.B.6 |
| What a fraction is | 3 to 5 | 3.NF.A.1 3.NF.A.2 5.NF.B.3 |
| Equivalent fractions | 3 to 6 | 3.NF.A.3 4.NF.A.1 4.NF.A.2 |
| Adding and multiplying fractions | 4 to 6 | 4.NF.B.3 5.NF.A.1 5.NF.B.4 6.NS.A.1 |
| Decimals and percent | 4 to 7 | 4.NF.C.6 5.NBT.B.7 6.RP.A.3c 7.RP.A.3 |
| Ratio and proportion | 6 to 8 | 6.RP.A.1 6.RP.A.3 7.RP.A.2 |
| Negative numbers | 6 to 7 | 6.NS.C.5 6.NS.C.6 7.NS.A.1 7.NS.A.2 |
| Variables and expressions | 6 to 8 | 6.EE.A.2 6.EE.B.6 7.EE.A.1 |
| Solving linear equations | 7 to 9 | 7.EE.B.4a 8.EE.C.7 HSA-REI.B.3 |
| The coordinate plane | 5 to 8 | 5.G.A.1 5.G.A.2 6.NS.C.8 |
| Slope and straight-line graphs | 8 to 10 | 8.EE.B.5 8.EE.B.6 8.F.B.4 HSF-IF.B.6 |
| Systems of equations | 8 to 11 | 8.EE.C.8 HSA-REI.C.6 |
| Exponents and roots | 5 to 10 | 6.EE.A.1 8.EE.A.1 8.EE.A.2 HSN-RN.A.2 |
| Quadratic equations | 9 to 11 | HSA-SSE.B.3a HSA-REI.B.4 |
| Functions | 8 to 12 | 8.F.A.1 HSF-IF.A.1 HSF-IF.A.2 |
| Right-triangle trigonometry | 9 to 11 | HSG-SRT.C.6 HSG-SRT.C.8 |
| Probability | 5 to 9 | 7.SP.C.5 7.SP.C.7 7.SP.C.8 |
| Average and spread | 6 to 10 | 6.SP.A.3 6.SP.B.5c HSS-ID.A.2 |
| Number patterns and rules | 1 to 8 | 3.OA.D.9 4.OA.C.5 5.OA.B.3 HSF-LE.A.2 |
| Word problems: which operation? | 1 to 5 | 1.OA.A.1 2.OA.A.1 3.OA.D.8 |
| Estimating and rounding | 2 to 5 | 3.NBT.A.1 3.OA.D.8 4.OA.A.3 |
| Order of operations | 3 to 7 | 5.OA.A.1 6.EE.A.2c |
| Finding the missing number | 1 to 7 | 1.OA.D.8 3.OA.A.4 6.EE.B.7 |
| Shapes, symmetry and solids | K to 6 | K.G.A.2 2.G.A.1 4.G.A.3 6.G.A.4 |
| Angles | 4 to 8 | 4.MD.C.5 4.G.A.1 8.G.A.5 |
| Perimeter and area | 3 to 6 | 3.MD.C.5 3.MD.D.8 4.MD.A.3 |
| Factors and prime numbers | 4 to 6 | 4.OA.B.4 6.NS.B.4 |
| Counting money and making change | 1 to 4 | 2.MD.C.8 4.MD.A.2 |
| Budgets and profit | 3 to 8 | 4.MD.A.2 7.EE.B.3 |
| Reading graphs and charts | 1 to 6 | 1.MD.C.4 2.MD.D.10 3.MD.B.3 6.SP.B.4 |
| Graphs that mislead | 5 to 12 | 6.SP.B.5 HSS-IC.B.6 |
| Collecting fair data | 3 to 8 | 6.SP.A.1 7.SP.A.1 |
| Inequalities | 6 to 9 | 6.EE.B.8 7.EE.B.4b |
| Fair games and expected value | 6 to 12 | 7.SP.C.7 HSS-MD.B.6 |
| Likely, certain and the long run | 6 to 12 | 7.SP.C.5 7.SP.C.6 |
| Clever counting | 3 to 10 | 7.SP.C.8b HSS-CP.B.9 MP.7 |
| Logic and proof | 4 to 12 | MP.3 HSG-CO.C.10 |
| The pigeonhole idea | 4 to 12 | MP.3 MP.7 |
| Problem-solving strategies | 3 to 12 | MP.1 MP.7 |
Reading and writing (Common Core): 75 ideas
| Idea | Grades | Standards |
|---|---|---|
| A complete sentence | K to 3 | L.K.1f L.1.1j L.2.1f L.3.1i |
| Subject-verb agreement | 3 to 9 | L.1.1c L.3.1f |
| Building a paragraph | 3 to 8 | W.3.2a W.4.2a |
| Claim and evidence | 5 to 11 | W.5.1b W.7.1b W.9-10.1a |
| Handling the counterargument | 7 to 12 | W.7.1a W.8.1a W.9-10.1b |
| Finding the main idea | 2 to 7 | RI.2.2 RI.3.2 RI.5.2 RI.6.2 |
| Inference | 3 to 12 | RI.4.1 RL.5.1 RI.7.1 |
| Purpose and tone | 6 to 12 | RI.6.4 RI.6.6 RI.9-10.6 |
| Hearing the sounds in words | Pre-K to 1 | RF.K.2d RF.1.2c |
| Sounding out and blending | K to 2 | RF.K.3b RF.1.2b RF.1.3b |
| Words to know by sight | K to 2 | RF.K.3c RF.1.3g RF.2.3f |
| Letter teams | 1 to 2 | RF.1.3a RF.1.3c RF.2.3b |
| Syllables and word endings | 1 to 3 | RF.1.3d RF.1.3f RF.2.3c RF.3.3c |
| Reading a brand-new word | 1 to 3 | RF.2.3 RF.3.3 |
| Reading smoothly, with expression | 1 to 5 | RF.1.4b RF.2.4b RF.3.4b RF.4.4b |
| Reading with a purpose | 2 to 12 | RF.3.4a RF.5.4a RI.4.10 |
| Noticing when you stop understanding | 2 to 8 | RF.2.4c RF.3.4c RF.4.4c |
| Finding the detail that answers it | 1 to 5 | RL.1.1 RI.2.1 RI.3.1 |
| What happened, in order | 1 to 4 | RI.1.3 RI.2.3 RI.3.3 RI.4.3 |
| Summarizing in your own words | 3 to 8 | RL.4.2 RI.4.2 RI.5.2 RI.6.2 |
| Fact or opinion | 2 to 6 | RI.4.8 RI.5.8 |
| Comparing two texts | 2 to 8 | RI.2.9 RI.3.9 RI.5.9 RI.7.9 |
| Who a small word points to | 2 to 6 | RI.3.8 L.6.1d |
| Mood and word choice | 4 to 12 | RL.6.4 RL.8.4 |
| Predicting from the text | 1 to 5 | RL.2.1 RL.3.1 |
| Characters, setting and problem | K to 4 | RL.K.3 RL.1.3 RL.2.5 |
| How a story is built | 2 to 8 | RL.2.5 RL.5.5 RL.6.3 |
| Why characters act and change | 2 to 8 | RL.2.3 RL.3.3 RL.6.3 |
| Who is telling it | 2 to 10 | RL.2.6 RL.3.6 RL.5.6 RL.8.6 |
| What the story is really about | 2 to 10 | RL.2.2 RL.3.2 RL.4.2 RL.6.2 |
| Context clues | 2 to 10 | L.2.4a L.3.4a L.5.4a L.7.4a L.9-10.4a |
| Prefixes, suffixes and roots | 2 to 12 | L.2.4b L.3.4b L.4.4b L.6.4b L.9-10.4b |
| Words with more than one meaning | K to 6 | L.K.4a L.3.4a L.5.5c |
| Shades of meaning | 2 to 12 | L.2.5b L.3.5c L.7.5c L.9-10.5b |
| Figurative language | 3 to 12 | L.3.5a L.4.5a L.5.5a RL.5.4 RL.7.4 |
| Words that belong to a subject | 2 to 12 | L.3.6 L.5.6 L.7.6 RI.3.4 |
| Rhythm, rhyme and sound | K to 7 | RF.K.2a RL.2.4 RL.7.4 |
| How a poem is shaped | 3 to 12 | RL.4.5 RL.5.5 RL.9-10.5 |
| Headings, pictures and other text features | 1 to 5 | RI.1.5 RI.2.5 RI.2.7 RI.3.5 RI.3.7 |
| How information is organized | 3 to 8 | RI.4.5 RI.5.5 RI.6.5 |
| Reading the numbers | 4 to 12 | RI.4.7 RI.6.7 |
| Checking an argument | 4 to 12 | RI.6.8 RI.8.8 RI.9-10.8 |
| Where the facts came from | 4 to 12 | W.6.8 W.8.8 RI.9-10.8 |
| Two accounts of one event | 4 to 12 | RI.4.6 RI.5.6 RI.7.9 |
| Reading like a writer | 5 to 12 | RI.7.5 RL.9-10.5 |
| Reading long things | 4 to 12 | RL.5.10 RL.7.10 RL.9-10.10 |
| Growing and joining sentences | 1 to 8 | L.1.1g L.2.1f L.3.1h L.6.3a |
| Punctuation that steers the reader | 1 to 8 | L.1.2b L.3.2c L.4.2b L.7.2a |
| An opinion with reasons | 1 to 6 | W.1.1 W.2.1 W.3.1b W.4.1b |
| Endings that land | 1 to 8 | W.1.1 W.3.1d W.5.1d W.7.1e |
| Persuading with care | 4 to 10 | W.4.1c W.6.1c L.6.3 |
| Arguments without logic traps | 7 to 12 | W.9-10.1c RI.9-10.8 |
| Asking a research question | 3 to 12 | W.3.7 W.5.7 W.7.7 |
| Finding and judging sources | 4 to 12 | W.4.8 W.6.8 W.8.8 W.11-12.8 |
| Putting sources together | 5 to 12 | W.5.9 W.7.7 W.11-12.7 |
| Notes and giving credit | 3 to 12 | W.3.8 W.6.8 W.9-10.8 |
| Beginning, middle and end | 1 to 10 | W.1.3 W.3.3a W.5.3a W.7.3a |
| Show, don't tell | 3 to 12 | W.3.3b W.4.3d W.7.3d |
| Writing dialogue | 3 to 10 | W.3.3b W.5.3b L.4.2b |
| Pacing and shape | 5 to 12 | W.5.3b W.9-10.3b W.9-10.3c |
| Characters with depth | 4 to 12 | W.4.3b W.7.3b |
| Picking the moment | 2 to 12 | W.2.3 W.3.3a W.9-10.3a |
| What it meant | 3 to 12 | W.3.3d W.5.3e W.9-10.3e |
| Writing in your own voice | 3 to 12 | W.4.4 W.7.4 |
| The precise word | 2 to 12 | L.3.3a L.4.3a W.4.3d |
| Cause and effect, compare and contrast | 3 to 10 | W.4.2a W.7.2a |
| Examples and analogies | 3 to 10 | W.4.2b W.7.2b |
| Transitions that connect | 2 to 10 | W.3.2c W.6.2c W.9-10.2c |
| Instructions that work | 3 to 10 | W.4.2 W.7.2 |
| Writing about why | 5 to 12 | W.5.9 W.7.9 W.9-10.9 |
| Quoting the text | 4 to 12 | W.4.9 RL.7.1 W.9-10.9 |
| Writing about main idea and theme | 5 to 12 | RL.9-10.2 RI.9-10.2 W.9-10.9 |
| Writing to move people | 6 to 12 | W.9-10.4 SL.9-10.4 |
| Memos, pitches and feedback | 7 to 12 | W.11-12.4 W.9-10.5 |
| Emails, requests and apologies | 5 to 12 | W.6.4 W.9-10.4 |
Science (NGSS): 42 ideas
| Idea | Grades | Standards |
|---|---|---|
| Observing and measuring | K to 3 | 2-PS1-1 2.MD.A.1 |
| The fair test | 3 to 10 | 3-5-ETS1-3 MS-ETS1-3 |
| States of matter | 2 to 5 | 2-PS1-4 5-PS1-1 MS-PS1-4 |
| Atoms and elements | 5 to 8 | 5-PS1-1 MS-PS1-1 |
| Reading the periodic table | 7 to 10 | HS-PS1-1 |
| Chemical bonds | 8 to 11 | HS-PS1-2 HS-PS1-3 |
| Reactions and balancing | 8 to 11 | MS-PS1-2 MS-PS1-5 HS-PS1-7 |
| Speed and velocity | 5 to 9 | 3-PS2-2 6.RP.A.3b |
| Acceleration | 7 to 10 | MS-PS2-2 HS-PS2-1 |
| Mass and weight | 6 to 9 | 5-PS2-1 MS-PS2-4 |
| Forces and net force | 6 to 9 | 3-PS2-1 MS-PS2-2 |
| Newton’s first law (inertia) | 8 to 11 | MS-PS2-2 |
| Newton’s second law (F = ma) | 9 to 12 | MS-PS2-2 HS-PS2-1 |
| Newton’s third law (action and reaction) | 8 to 12 | MS-PS2-1 |
| Momentum | 9 to 12 | HS-PS2-2 HS-PS2-3 |
| Energy and its conservation | 7 to 12 | 4-PS3-1 MS-PS3-5 HS-PS3-1 |
| Cells | 4 to 8 | MS-LS1-1 MS-LS1-2 |
| DNA and inheritance | 7 to 11 | MS-LS3-2 HS-LS1-1 HS-LS3-1 |
| Photosynthesis and respiration | 6 to 11 | MS-LS1-6 MS-LS1-7 HS-LS1-5 HS-LS1-7 |
| Ecosystems and energy flow | 5 to 10 | 5-LS2-1 MS-LS2-3 HS-LS2-4 |
| Evolution by natural selection | 7 to 12 | MS-LS4-4 HS-LS4-2 HS-LS4-4 |
| Earth systems and climate | 4 to 10 | 5-ESS2-1 MS-ESS2-4 MS-ESS3-5 HS-ESS2-4 |
| Gravity and orbits | 6 to 11 | MS-ESS1-2 HS-ESS1-4 HS-PS2-4 |
| Properties of matter | 2 to 8 | 2-PS1-1 5-PS1-3 |
| Mixtures and dissolving | 2 to 8 | 5-PS1-2 MS-PS1-2 |
| Simple machines | 3 to 8 | 3-PS2-1 MS-PS2-2 |
| Light and sound waves | 1 to 8 | 1-PS4-1 4-PS4-1 MS-PS4-1 |
| Electricity and magnetism | 3 to 10 | 3-PS2-3 4-PS3-2 MS-PS2-3 |
| Energy sources and their tradeoffs | 4 to 12 | 4-ESS3-1 HS-ESS3-2 |
| The Sun and the solar system | 1 to 8 | 1-ESS1-1 5-ESS1-1 MS-ESS1-3 |
| Phases of the Moon | 1 to 8 | 1-ESS1-1 MS-ESS1-1 |
| What living things need | K to 4 | K-LS1-1 K-ESS3-1 3-LS4-3 |
| Adaptations | 1 to 8 | 1-LS1-1 3-LS4-3 4-LS1-1 |
| Food chains and recyclers | 2 to 7 | 5-LS2-1 MS-LS2-2 |
| Sorting living things | 3 to 8 | MS-LS4-2 |
| Life cycles | K to 5 | 1-LS3-1 3-LS1-1 |
| How the body works | 1 to 8 | 4-LS1-1 4-LS1-2 MS-LS1-3 MS-LS1-8 |
| Food, energy and health | 2 to 8 | 5-PS3-1 MS-LS1-7 |
| Storms, volcanoes and earthquakes | 2 to 9 | 3-ESS3-1 4-ESS2-2 MS-ESS2-3 |
| Biomes and climate zones | 3 to 9 | 3-ESS2-2 3-LS4-3 |
| People and the planet | 3 to 12 | 5-ESS3-1 MS-ESS3-3 MS-LS2-5 HS-LS2-7 |
| Microbes and the microscope | 3 to 9 | MS-LS1-1 MS-LS1-3 |
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