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Features

  • Sap to syrup tables at 40 to 1 and, for sweeter sap, 30 to 1
  • How many taps a maple takes by how wide it is, then the season's sap and syrup
  • Which days the sap runs, from each day's low and high temperature
  • A bar graph of a week of sap to read
  • Boiling times in hours and minutes, and degrees to 219°F
  • Gallons, quarts and cups, and a story with a remainder to think about
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Multiply and divide by multiples of 10
  • Complete a ratio table
  • Solve multi-step word problems
  • Read a bar graph
  • Find elapsed time in hours and minutes
  • Convert gallons, quarts and cups

About maple sugaring

Anishinaabe, Haudenosaunee and other Native nations of the Great Lakes and Northeast made maple syrup and sugar long before Europeans arrived, and taught the settlers how. Families still gather at the sugar bush (iskigamizigan in Ojibwe) in late winter and early spring, when freezing nights and thawing days make the sap run. A slanted cut or a spout in the bark lets sap drip into birchbark containers, and boiling turns it into syrup, then maple sugar, kept in birchbark boxes (makakoon). The Haudenosaunee give thanks to the maple trees in spring as the sap begins to run. The figures on these pages come from park service and university extension guides.

How to Use This Pack

Five pages of 4th grade math from the sugar bush, each starting with a short panel that gives the facts it needs. Page 1 fills in sap to syrup tables at 40 to 1 and 30 to 1, then three stories. Page 2 gives twelve maples by how wide they are: students write each tree's taps, add them up, and find the sap and syrup. Page 3 marks the days the sap runs from a week of temperatures, then reads a bar graph of a week of sap. Page 4 has six boiling stories about elapsed time and temperature. Page 5 fills in a gallons, quarts and cups table and solves four stories; the last asks how many baskets are needed, so the remainder matters. The first tree on page 2 and the first story on page 4 are worked examples.

In the Classroom

Read each page's panel together first: it holds the numbers the problems need. Page 2's trees at 11, 12, 18 and 19 inches are the ones to talk about. On page 3, ask why a night above freezing or a day below it stops the sap.

At Home

If you have maple syrup at home, read the label together and work out how much sap went into the bottle (a quart of syrup is about 10 gallons of sap).

Tips for Success

  • Each page's panel has the facts you need
  • Times 40 is times 4, then times 10
  • A tree exactly 12 or 18 inches across gets 1 tap
  • Sap runs only when the low is below 32°F and the high is above it
  • Count hours first, then minutes, when you find a boiling time

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 3.NBT.A.3 Multiply a single-digit number by a multiple of ten from 10 to 90, such as 4 × 70, using place value and properties.
  • 3.MD.A.1 Read and record time to the exact minute, find how many minutes pass between times, and solve story problems adding or subtracting minutes.
  • 4.OA.A.3 Solve multi-step story problems with whole numbers and all four operations, deciding what remainders mean, writing equations with a letter, and checking by estimating.
  • 4.NBT.B.6 Divide numbers up to 9,999 by one-digit numbers, finding quotients and remainders with place-value strategies shown in equations, arrays or area models.
  • 4.MD.A.1 Know how units within one system compare, rewrite a measurement in a smaller unit, and make two-column conversion tables, like yards to feet.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Maple Sugaring Math

4th Grade

Word problems, tables and a graph from the spring sugar bush, where Anishinaabe, Haudenosaunee and other Native nations boil maple sap into syrup and sugar. Students multiply and divide by 40, count taps, read a week of sap, work out boiling times and change gallons to quarts and cups.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Ratio tables, tapping trees, sap days and a bar graph
  • Elapsed time, temperature and liquid volume stories
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