Mental Math & Number Sense: Percentages & Powers of Ten • Calculate 10% Shortcut

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Grumble Services - Montessori-inspired Materials

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Grade Levels

4th - 6th, Homeschool

Subjects

Applied Math, Fractions, Mental Math

Resource Type

Worksheets, Printables, Montessori

Standards

CCSS5.NF.B.7b

CCSS6.RP.A.3c

CCSSMP1

CCSSMP2

Formats Included

Pages

2 pages

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Description

Mental Math & Number Sense: Percentages & Powers of Ten • Calculate 10% Shortcut • SEMiPRO Montessori-inspired Math help (1 printable page + key):

Percentages and Powers of Ten. These pages guide young mathematicians to:

Practice moving the decimal point one place to the left in to quickly calculate 10%
Discover the effects of multiplying and dividing by the Power of Tens
Explore example problem using the Montessori Decimal Board Material as a guide!

Percentages and Powers of Ten: What is the effect of multiplying and dividing by the powers of ten? Practice moving the decimal point one place to the left in order to quickly calculate 10% of a number. Examples on Montessori Decimal Board Material included! Fun little exercises for the older student. Enjoy Mental Math & Number Sense: Percentages & Powers of Ten • Calculate 10% Shortcut!

Do you like Mental Math & Number Sense: Percentages & Powers of Ten • Calculate 10% Shortcut Math help? Please consider other EXTRA MATH HELP learning resources from Grumble!

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Dr. Maria Montessori believed the only way our world would find lasting peace was through educating our children. Much of her elementary curriculum was written by her during a period of internment in India during WWII. This time period helped solidify Dr. Montessori’s belief in Peace Education.

Resource Color Guide (just like the Montessori hierarchical colors):

ROOKIE Pages (Green) - Aimed toward early to mid level elementary students.

SEMiPRO Pages (Blue) - Aimed toward mid level elementary students.

VETERAN Pages (Red) - Aimed toward mid to late level elementary students.

But of course, you know the child best, so adjust accordingly.

In the words of Dr. Montessori, "Follow the Child!"

Total Pages

2 pages

Answer Key

Included

Teaching Duration

30 minutes

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Standards

to see state-specific standards (only available in the US).

CCSS5.NF.B.7b

Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

CCSS6.RP.A.3c

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

CCSSMP1

Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.

CCSSMP2

Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize-to abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents-and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.

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