Gizmos for PHIL Learning Competencies - Mathematics: 6th Grade (Most Essential Learning Competencies adopted 2022)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

6.1: : First Quarter

6.1.1: : The learner adds and subtracts simple fractions and mixed numbers without or with regrouping.

6.1.2: : The learner solves routine and non-routine problems involving addition and/or subtraction of fractions using appropriate problem solving strategies and tools.

6.1.3: : The learner multiplies simple fractions and mixed fractions.

6.1.4: : The learner solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and mixed fractions using appropriate problem solving strategies and tools.

6.1.5: : The learner divides simple fractions and mixed fractions.

6.1.6: : The learner solves routine or non-routine problems involving division without or with any of the other operations of fractions and mixed fractions using appropriate problem solving strategies and tools.

6.1.7: : The learner adds and subtracts decimals and mixed decimals through ten thousandths without or with regrouping.

6.1.8: : The learner solves 1 or more steps routine and non-routine problems involving addition and/or subtraction of decimals and mixed decimals using appropriate problem solving strategies and tools.

6.1.9: : The learner multiplies decimals and mixed decimals with factors up to 2 decimal places.

6.1.11: : The learner solves routine and non-routine problems involving multiplication of decimals and mixed decimals including money using appropriate problem solving strategies.

6.1.12: : The learner solves multi-step problems involving multiplication and addition or subtraction of decimals, mixed decimals and whole numbers including money using appropriate problem solving strategies and tools.

6.2: : Second Quarter

6.2.18: : The learner expresses one value as a fraction of another given their ratio and vice versa.

6.2.19: : The learner defines and illustrates the meaning of ratio and proportion using concrete or pictorial models.

6.2.20: : The learner finds a missing term in a proportion (direct, inverse, and partitive).

6.2.21: : The learner solves problems involving direct proportion, partitive proportion, and inverse proportion in different contexts such as distance, rate, and time using appropriate strategies and tools.

6.2.22: : The learner finds the percentage or rate or percent in a given problem.

6.2.23: : The learner solves routine and non-routine problems involving finding the percentage, rate and base using appropriate strategies and tools.

6.2.24: : The learner solves percent problems such as percent of increase/decrease (discounts, original price, rate of discount, sale price, marked-up price), commission, sales tax, and simple interest.

6.2.25: : The learner describes the exponent and the base in a number expressed in exponential notation.

6.2.26: : The learner gives the value of numbers expressed in exponential notation.

6.2.27: : The learner interprets and explains the Grouping, Exponent, Multiplication, Division, Addition, Subtraction (GEMDAS) rule.

6.2.28: : The learner performs two or more different operations on whole numbers with or without exponents and grouping symbols.

6.2.29: : The learner describes the set of integers and identifies real-life situations that make use of it.

6.2.30: : The learner compares integers with other numbers such as whole numbers, fractions, and decimals.

6.2.31: : The learner compares and arranges integers on the number line.

6.2.32: : The learner describes and interprets the basic operations on integers using materials such as algebra tiles, counters, chips, and cards.

6.2.33: : The learner performs the basic operations on integers.

6.2.34: : The learner solves routine and non-routine problems involving basic operations of integers using appropriate strategies and tools.

6.3: : Third Quarter

6.3.35: : The learner visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere using various concrete and pictorial models.

6.3.38: : The learner formulates the rule in finding the nth term using different strategies (looking for a pattern, guessing and checking, working backwards).

6.3.40: : The learner gives the translation of real-life verbal expressions and equations into letters or symbols and vice versa.

6.3.42: : The learner represents quantities in real-life situations using algebraic expressions and equations.

6.3.43: : The learner solves routine and non-routine problems involving different types of numerical expressions and equations such as 7 + 9 = ___ + 6.

6.3.46: : The learner finds the area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle.

6.3.47: : The learner solves routine and non-routine problems involving area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle.

6.3.48: : The learner visualizes and describes surface area and names the unit of measure used for measuring the surface area of solid/space figures

6.3.49: : The learner finds the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres.

6.3.50: : The learner solves word problems involving measurement of surface area.

6.4: : Fourth Quarter

6.4.51: : The learner determines the relationship of the volume between a rectangular prism and a pyramid; a cylinder and a cone; and a cylinder and sphere.

6.4.52: : The learner finds the volume of cylinders, pyramids, cones, and spheres.

6.4.53: : The learner solves routine and non-routine problems involving volumes of solids.

6.4.56: : The learner constructs a pie graph based on a given set of data and interpret it.

6.4.57: : The learner solves routine and non-routine problems using data presented in a pie graph

6.4.58: : The learner describes the meaning of probability such as 50% chance of rain and one in a million chance of winning.

6.4.59: : The learner performs experiments and records outcomes.

6.4.60: : The learner makes listings and diagrams of outcomes and tells the number of favorable outcomes and chances using these listings and diagrams.

6.4.61: : The learner makes simple predictions of events based on the results of experiments

6.4.62: : The learner solves routine and non-routine problems involving experimental and theoretical probability.

Correlation last revised: 1/23/2024

PHIL Learning Competencies - Mathematics: 6th Grade

Most Essential Learning Competencies | Adopted: 2022

6.1: : First Quarter

6.2: : Second Quarter

6.3: : Third Quarter

6.4: : Fourth Quarter